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Journal articles on the topic 'Hamilton-connectivity'

Author: Grafiati

Published: 25 May 2024

Last updated: 31 July 2025

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1

Hayat, Sakander, Asad Khan, Suliman Khan, and Jia-Bao Liu. "Hamilton Connectivity of Convex Polytopes with Applications to Their Detour Index." Complexity 2021 (January 23, 2021): 1–23. http://dx.doi.org/10.1155/2021/6684784.

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A connected graph is called Hamilton-connected if there exists a Hamiltonian path between any pair of its vertices. Determining whether a graph is Hamilton-connected is an NP-complete problem. Hamiltonian and Hamilton-connected graphs have diverse applications in computer science and electrical engineering. The detour index of a graph is defined to be the sum of lengths of detours between all the unordered pairs of vertices. The detour index has diverse applications in chemistry. Computing the detour index for a graph is also an NP-complete problem. In this paper, we study the Hamilton-connect

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Hayat, Sakander, Muhammad Yasir Hayat Malik, Ali Ahmad, Suliman Khan, Faisal Yousafzai, and Roslan Hasni. "On Hamilton-Connectivity and Detour Index of Certain Families of Convex Polytopes." Mathematical Problems in Engineering 2021 (July 17, 2021): 1–18. http://dx.doi.org/10.1155/2021/5553216.

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A convex polytope is the convex hull of a finite set of points in the Euclidean space ℝ n . By preserving the adjacency-incidence relation between vertices of a polytope, its structural graph is constructed. A graph is called Hamilton-connected if there exists at least one Hamiltonian path between any of its two vertices. The detour index is defined to be the sum of the lengths of longest distances, i.e., detours between vertices in a graph. Hamiltonian and Hamilton-connected graphs have diverse applications in computer science and electrical engineering, whereas the detour index has important

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3

Alspach, Brian, and Jiping Liu. "On the Hamilton connectivity of generalized Petersen graphs." Discrete Mathematics 309, no. 17 (2009): 5461–73. http://dx.doi.org/10.1016/j.disc.2008.12.016.

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4

Fan, Jianxi. "Hamilton-connectivity and cycle-embedding of the Möbius cubes." Information Processing Letters 82, no. 2 (2002): 113–17. http://dx.doi.org/10.1016/s0020-0190(01)00256-3.

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5

Hu, Zhiquan, Feng Tian, and Bing Wei. "Hamilton connectivity of line graphs and claw-free graphs." Journal of Graph Theory 50, no. 2 (2005): 130–41. http://dx.doi.org/10.1002/jgt.20099.

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6

Chen, Yaojun, Feng Tian та Bing Wei. "Hamilton-connectivity of 3-domination-critical graphs with α⩽δ". Discrete Mathematics 271, № 1-3 (2003): 1–12. http://dx.doi.org/10.1016/s0012-365x(02)00876-2.

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7

Liao, Lifang, Liulu Zhang, Jun Lv, et al. "Transcutaneous Electrical Cranial-Auricular Acupoint Stimulation Modulating the Brain Functional Connectivity of Mild-to-Moderate Major Depressive Disorder: An fMRI Study Based on Independent Component Analysis." Brain Sciences 13, no. 2 (2023): 274. http://dx.doi.org/10.3390/brainsci13020274.

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Evidence has shown the roles of taVNS and TECS in improving depression but few studies have explored their synergistic effects on MDD. Therefore, the treatment responsivity and neurological effects of TECAS were investigated and compared to escitalopram, a commonly used medication for depression. Fifty patients with mild-to-moderate MDD (29 in the TECAS group and 21 in another) and 49 demographically matched healthy controls were recruited. After an eight-week treatment, the outcomes of TECAS and escitalopram were evaluated by the effective rate and reduction rate based on the Montgomery–Asber

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8

Liu, Donglin, Chunxiang Wang, and Shaohui Wang. "Hamilton-connectivity of Interconnection Networks Modeled by a Product of Graphs." Applied Mathematics and Nonlinear Sciences 3, no. 2 (2018): 419–26. http://dx.doi.org/10.21042/amns.2018.2.00032.

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AbstractThe product graph Gm *Gp of two given graphs Gm and Gp, defined by J.C. Bermond et al.[J Combin Theory, Series B 36(1984) 32-48] in the context of the so-called (Δ,D)-problem, is one interesting model in the design of large reliable networks. This work deals with sufficient conditions that guarantee these product graphs to be hamiltonian-connected. Moreover, we state product graphs for which provide panconnectivity of interconnection networks modeled by a product of graphs with faulty elements.

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Chen, Yaojun, Feng Tian та Yunqing Zhang. "Hamilton-connectivity of 3-Domination Critical Graphs with α=δ+ 2". European Journal of Combinatorics 23, № 7 (2002): 777–84. http://dx.doi.org/10.1006/eujc.2002.0603.

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10

Nikoghosyan, Zh G. "Disconnected Forbidden Subgraphs, Toughness and Hamilton Cycles." ISRN Combinatorics 2013 (March 10, 2013): 1–4. http://dx.doi.org/10.1155/2013/673971.

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In 1974, Goodman and Hedetniemi proved that every 2-connected -free graph is hamiltonian. This result gave rise many other conditions for Hamilton cycles concerning various pairs and triples of forbidden connected subgraphs under additional connectivity conditions. In this paper we investigate analogous problems when forbidden subgraphs are disconnected which affects more global structures in graphs such as tough structures instead of traditional connectivity structures. In 1997, it was proved that a single forbidden connected subgraph in 2-connected graphs can create only a trivial class of h

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11

Chen, Yaojun, T. C. Edwin Cheng та C. T. Ng. "Hamilton-connectivity of 3-domination critical graphs with α=δ+1⩾5". Discrete Mathematics 308, № 7 (2008): 1296–307. http://dx.doi.org/10.1016/j.disc.2007.03.075.

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12

Broersma, Hajo, Jiří Fiala, Petr A. Golovach, Tomáš Kaiser, Daniël Paulusma, and Andrzej Proskurowski. "Linear-Time Algorithms for Scattering Number and Hamilton-Connectivity of Interval Graphs." Journal of Graph Theory 79, no. 4 (2014): 282–99. http://dx.doi.org/10.1002/jgt.21832.

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13

Zuo, Ting, Heng Wei, and Na Chen. "Incorporating Low-Stress Bicycling Connectivity into Expanded Transit Service Coverage." Transportation Research Record: Journal of the Transportation Research Board 2675, no. 4 (2021): 79–89. http://dx.doi.org/10.1177/0361198121998956.

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The speed advantage in bicycling over walking is believed to ease first-and-last mile (F&LM) travel and expand transit service coverage. To quantitatively investigate the potential effect of using bicycle as a F&LM connector, the paper measures and compares the impacts of walking and bicycling F&LM access on transit service coverage. In the estimation of transit service coverage, F&LM travel decay functions representing the attractiveness of public transit that declines with increasing walking/biking time to access transit facilities and the spatial boundaries of transit catchm

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14

米, 晶. "The Hamilton-Connectivity with the Sum Degree of Subgraph in Claw-Free Graphs." Advances in Applied Mathematics 03, no. 01 (2014): 8–16. http://dx.doi.org/10.12677/aam.2014.31002.

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15

Forcan, Jovana, and Mirjana Mikalački. "Spanning Structures in Walker–Breaker Games." Fundamenta Informaticae 185, no. 1 (2022): 83–97. http://dx.doi.org/10.3233/fi-222104.

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We study the biased (2 : b) Walker–Breaker games, played on the edge set of the complete graph on n vertices, Kn. These games are a variant of the Maker–Breaker games with the restriction that Walker (playing the role of Maker) has to choose her edges according to a walk. We look at the two standard graph games – the Connectivity game and the Hamilton Cycle game and show that Walker can win both games even when playing against Breaker whose bias is of the order of magnitude n/ ln n.

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Yang, Rui, Hongbo Zhang, Xiaoping Wu, et al. "Hypothalamus-Anchored Resting Brain Network Changes before and after Sertraline Treatment in Major Depression." BioMed Research International 2014 (2014): 1–7. http://dx.doi.org/10.1155/2014/915026.

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Sertraline, one of the oldest antidepressants, remains to be the most efficacious treatment for depression. However, major depression disorder (MDD) is characterized by altered emotion processing and deficits in cognitive control. In cognitive interference tasks, patients with MDD have shown excessive hypothalamus activity. The purpose of this study was to examine the effects of antidepressant treatment (sertraline) on hypothalamus-anchored resting brain circuitry. Functional magnetic resonance imaging was conducted on depressed patients(n=12)both before and after antidepressant treatment. Aft

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17

Zhang, Loufeng, Yuanyuan Guo, Tongjian Bai, et al. "Electroconvulsive Therapy Regulates the Interhemispheric Functional Connectivity of the Dorsomedial Prefrontal Cortex in Depressive Patients: Evidence from 2 Independent Samples." Actas Españolas de Psiquiatría 52, no. 5 (2024): 660–69. http://dx.doi.org/10.62641/aep.v52i5.1675.

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Background: The dorsomedial prefrontal cortex (dmPFC) is considered a crucial node in emotional and cognitive processes. Voxel-mirrored homotopic connectivity (VMHC) is a validated methodology for investigating interhemispheric coordination. This study aims to elucidate the effects of electroconvulsive therapy (ECT) on the interhemispheric connectivity of the dmPFC in patients with depression, using VMHC as a measure of bilateral neural coordination. Methods: Thirty-three patients with depression, screened at the University of Science and Technology of China (USTC), and thirty-five patients wi

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Sabir, Eminjan, and Elkin Vumar. "Spanning Connectivity of the Power of a Graph and Hamilton-Connected Index of a Graph." Graphs and Combinatorics 30, no. 6 (2013): 1551–63. http://dx.doi.org/10.1007/s00373-013-1362-4.

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19

Zheng, Wei, and Li-gong Wang. "The Hamilton-Connectivity with the Degree Sum of Non-adjacent Subgraphs of Claw-free Graphs." Acta Mathematicae Applicatae Sinica, English Series 35, no. 3 (2019): 580–90. http://dx.doi.org/10.1007/s10255-019-0835-5.

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20

Espana, Lezlie, William McCuddy, Lindsay Nelson, Birn Rasmus, Andrew Mayer, and Timothy Bradley Meier. "Association of acute depressive symptoms and functional connectivity in emotional processing regions following sport-related concussion." Neurology 91, no. 23 Supplement 1 (2018): S15.1—S15. http://dx.doi.org/10.1212/01.wnl.0000550600.65611.23.

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Few studies have examined the physiologic correlates of depressive symptoms following sport-related concussion (SRC), despite the prevalence of these symptoms following brain injury. We hypothesized that concussed athletes would have disrupted resting-state functional connectivity in emotional processing regions compared to controls, and that this disruption would be associated with greater post-concussion symptoms of depression. Forty-three concussed athletes at approximately 1 day (N = 34), 1 week (N = 34), and 1 month (N = 30) post-concussion were evaluated along with 51 healthy athletes as

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21

Ouyang, Xuan, Yicheng Long, Zhipeng Wu, Dayi Liu, Zhening Liu, and Xiaojun Huang. "Temporal Stability of Dynamic Default Mode Network Connectivity Negatively Correlates with Suicidality in Major Depressive Disorder." Brain Sciences 12, no. 9 (2022): 1263. http://dx.doi.org/10.3390/brainsci12091263.

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Previous studies have demonstrated that the suicidality in patients with major depressive disorder (MDD) is related to abnormal brain functional connectivity (FC) patterns. However, little is known about its relationship with dynamic functional connectivity (dFC) based on the assumption that brain FCs fluctuate over time. Temporal stabilities of dFCs within the whole brain and nine key networks were compared between 52 MDD patients and 21 age, sex-matched healthy controls (HCs) using resting-state functional magnetic resonance imaging and temporal correlation coefficients. The alterations in M

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22

Harrington, Y., M. Paolini, V. Bettonagli, et al. "Resting State Functional Connectivity is Associated With Treatment Response in Major Depression: A Real World Study." European Psychiatry 66, S1 (2023): S606—S607. http://dx.doi.org/10.1192/j.eurpsy.2023.1266.

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IntroductionMajor depressive disorder (MDD) is largely considered the most prevalent psychiatric disorder worldwide. Despite its domineering presence, effective treatment for many individuals remains elusive. Investigation into relevant biological markers, specifically neuroimaging correlates, of MDD and treatment response have gained traction in recent years; however, findings are still inconsistent.ObjectivesIn this study, we aimed to investigate the resting state functional connectivity patterns associated with treatment response in MDD inpatients in a real world setting.MethodsForty-three

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23

Du, Yi, Jingjie Zhao, Yongzhi Wang, et al. "Brain Functional Differences in Drug-Naive Major Depression with Anxiety Patients of Different Traditional Chinese Medicine Syndrome Patterns: A Resting-State fMRI Study." Evidence-Based Complementary and Alternative Medicine 2020 (February 18, 2020): 1–9. http://dx.doi.org/10.1155/2020/7504917.

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Major depressive disorder (MDD), especially combined with anxiety, has a high incidence and low detection rate in China. Literature has shown that patients under major depression with anxiety (MDA) are more likely to nominate a somatic, rather than psychological, symptom as their presenting complaint. In the theory of Traditional Chinese Medicine (TCM), clinical symptoms of MDD patients are mainly categorized into two different syndrome patterns: Deficiency and Excess. We intend to use resting-state functional magnetic resonance imaging (rs-fMRI) to investigate their brain functional differenc

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Cieri, Filippo, Roberto Esposito, Nicoletta Cera, Valentina Pieramico, Armando Tartaro, and Massimo di Giannantonio. "Late-Life Depression: Modifications of Brain Resting State Activity." Journal of Geriatric Psychiatry and Neurology 30, no. 3 (2017): 140–50. http://dx.doi.org/10.1177/0891988717700509.

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Late-life depression (LLD) is a common emotional and mental disability in the elderly population characterized by the presence of depressed mood, the loss of interest or pleasure in daily activities, and other depression symptoms. It has a serious effect on the quality of life of elderly individuals and increases their risk of developing physical and mental diseases. It is an important area of research, given the growing elderly population. Brain functional connectivity modifications represent one of the neurobiological biomarker for LLD even if to date remains poorly understood. In our study,

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25

Jeong, Won-Ki, P. Thomas Fletcher, Ran Tao, and Ross Whitaker. "Interactive Visualization of Volumetric White Matter Connectivity in DT-MRI Using a Parallel-Hardware Hamilton-Jacobi Solver." IEEE Transactions on Visualization and Computer Graphics 13, no. 6 (2007): 1480–87. http://dx.doi.org/10.1109/tvcg.2007.70571.

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26

Park, Junha, Taekwan Kim, Minah Kim, Tae Young Lee, and Jun Soo Kwon. "Functional Connectivity of the Striatum as a Neural Correlate of Symptom Severity in Patient with Obsessive-Compulsive Disorder." Psychiatry Investigation 17, no. 2 (2020): 87–95. http://dx.doi.org/10.30773/pi.2019.0206.

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Objective It is well established that the cortico-striato-thalamo-cortical (CSTC) circuit is implicated in the pathophysiology of obsessive- compulsive disorder (OCD). However, reports on corticostriatal functional connectivity (FC) in OCD have been inconsistent due to the structural and functional heterogeneity of the striatum. Therefore, in the present study, we investigated corticostriatal FC using a fine 12-seed striatal parcellation to overcome this heterogeneity and discover the neural correlates of symptoms in OCD patients.Methods We recruited 23 OCD patients and 23 healthy controls (HC

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Hu, Ruijia, and Susanna T. Y. Tong. "Habitat connectivity modeling for urban conservation planning: A case study of pileated woodpecker (Dryocopus pileatus) in Hamilton County, Ohio, USA." Ecological Indicators 176 (July 2025): 113656. https://doi.org/10.1016/j.ecolind.2025.113656.

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Bai, Tongjian, Qiang Wei, Wen Xie, et al. "Hippocampal-subregion functional alterations associated with antidepressant effects and cognitive impairments of electroconvulsive therapy." Psychological Medicine 49, no. 08 (2018): 1357–64. http://dx.doi.org/10.1017/s0033291718002684.

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AbstractBackgroundElectroconvulsive therapy (ECT), an effective antidepressive treatment, is frequently accompanied by cognitive impairment (predominantly memory), usually transient and self-limited. The hippocampus is a key region involved in memory and emotion processing, and in particular, the anterior-posterior hippocampal subregions has been shown to be associated with emotion and memory. However, less is known about the relationship between hippocampal-subregion alterations following ECT and antidepressant effects or cognitive impairments.MethodsResting-state functional connectivity (RSF

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Morriss, Richard, Lucy Webster, Mohamed Abdelghani, et al. "Connectivity guided theta burst transcranial magnetic stimulation versus repetitive transcranial magnetic stimulation for treatment-resistant moderate to severe depression: study protocol for a randomised double-blind controlled trial (BRIGhTMIND)." BMJ Open 10, no. 7 (2020): e038430. http://dx.doi.org/10.1136/bmjopen-2020-038430.

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IntroductionThe BRIGhTMIND study aims to determine the clinical effectiveness, cost-effectiveness and mechanism of action of connectivity guided intermittent theta burst stimulation (cgiTBS) versus standard repetitive transcranial magnetic stimulation (rTMS) in adults with moderate to severe treatment resistant depression.Methods and analysisThe study is a randomised double-blind controlled trial with 1:1 allocation to either 20 sessions of (1) cgiTBS or (2) neuronavigated rTMS not using connectivity guidance. A total of 368 eligible participants with a diagnosis of current unipolar major depr

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Kaneko, Tomoki, Toshinori Nakamura, Akiko Ryokawa, Shinsuke Washizuka, Yoshihiro Kitoh, and Yasunari Fujinaga. "Connective differences between patients with depression with and without ASD: A case-control study." PLOS ONE 18, no. 8 (2023): e0289735. http://dx.doi.org/10.1371/journal.pone.0289735.

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Background Researchers find it difficult to distinguish between depression with ASD (Depress-wASD) and without ASD (Depression) in adult patients. We aimed to clarify the differences in brain connectivity between patients with depression with ASD and without ASD. Methods From April 2017 to February 2019, 22 patients with suspected depression were admitted to the hospital for diagnosis or follow-up and met the inclusion criteria. The diagnosis was determined according to the Diagnostic and Statistical Manual of Mental Disorders-5 by skilled psychiatrists. The Hamilton Depression Rating Scale (H

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Zhang, Peiyao, Qin Xu, Jianping Dai, Jun Wang, Ning Zhang, and Yuejia Luo. "Dysfunction of Affective Network in Post Ischemic Stroke Depression: A Resting-State Functional Magnetic Resonance Imaging Study." BioMed Research International 2014 (2014): 1–7. http://dx.doi.org/10.1155/2014/846830.

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Objective. Previous studies have demonstrated that stroke characteristics and social and psychological factors jointly contribute to the development of poststroke depression (PSD). The purpose of this study was to identify altered functional connectivity (FC) of the affective network (AN) in patients with PSD and to explore the correlation between FC and the severity of PSD.Materials and Methods. 26 PSD patients, 24 stroke patients without depression, and 24 age-matched normal controls underwent the resting-state functional MRI (fMRI) scanning. The bilateral anterior cingulated cortices (ACCs)

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Xue, Shao-Wei, Changxiao Kuai, Yang Xiao, Lei Zhao, and Zhihui Lan. "Abnormal Dynamic Functional Connectivity of the Left Rostral Hippocampus in Predicting Antidepressant Efficacy in Major Depressive Disorder." Psychiatry Investigation 19, no. 7 (2022): 562–69. http://dx.doi.org/10.30773/pi.2021.0386.

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Objective Some pharmacological treatments are ineffective in parts of patients with major depressive disorder (MDD), hence this needs prediction of effective treatment responses. The study aims to examine the relationship between dynamic functional connectivity (dFC) of the hippocampal subregion and antidepressant improvement of MDD patients and to estimate the capability of dFC to predict antidepressant efficacy.Methods The data were from 70 MDD patients and 43 healthy controls (HC); the dFC of hippocampal subregions was estimated by sliding-window approach based on resting-state functional m

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Hou, Z., X. Song, W. Jiang, et al. "Association analysis of imbalanced interhemispheric functional coordination and early therapeutic efficacy in major depressive disorder: Evidence from resting state fMRI." European Psychiatry 33, S1 (2016): S87—S88. http://dx.doi.org/10.1016/j.eurpsy.2016.01.048.

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IntroductionEmerging evidences indicate that the alteration of interhemispheric functional coordination may be involved in the pathogenesis of major depressive disorder (MDD). In present study, we aim to explore the potential marker by using the voxel-mirrored homotopic connectivity (VMHC) approach, which may be contributing to predict the clinical prognosis in MDD.MethodsEighty-two MDD patients and 50 normal control (NC) subjects participated in this study. We divided the MDD group into unremitted and remitted group according to the reduction rate of Hamilton Rating Scale for Depression (HAMD

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Alcala, Y., D. Brito, O. Castro, and L. Marin. "HAMILTON-CONNECTIVITY IN BALANCED BIPARTITE GRAPHS." International Journal of Pure and Apllied Mathematics 102, no. 4 (2015). http://dx.doi.org/10.12732/ijpam.v102i4.2.

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Liu, Wenyu, Xinyu Hu, Dongmei An, Dong Zhou, and Qiyong Gong. "Resting-state functional connectivity alterations in periventricular nodular heterotopia related epilepsy." Scientific Reports 9, no. 1 (2019). http://dx.doi.org/10.1038/s41598-019-55002-3.

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AbstractPeriventricular nodular heterotopia (PNH) is a neural migration disorder which often presents clinically with seizures. However, the underlying functional neural basis of PNH is still unclear. We aimed to explore the underlying pathological mechanism of PNH by combining both whole brain functional connectivity (FC) and seed-based FC analyses. We utilized resting-state fMRI to measure functional connectivity strength (FCS) in 38 patients with PNH-related epilepsy and 38 control subjects. The regions with FCS alterations were selected as seeds in the following FC analyses. Pearson correl

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Clemens, Dennis, Pranshu Gupta, and Yannick Mogge. "Walker-Breaker Games on $G_{n,p}$." Electronic Journal of Combinatorics 31, no. 4 (2024). http://dx.doi.org/10.37236/11866.

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The Maker-Breaker connectivity game and Hamilton cycle game belong to the best studied games in positional games theory, including results on biased games, games on random graphs and fast winning strategies. Recently, the Connector-Breaker game variant, in which Connector has to claim edges such that her graph stays connected throughout the game, as well as the Walker-Breaker game variant, in which Walker has to claim her edges according to a walk, have received growing attention.For instance, London and Pluhár studied the threshold bias for the Connector-Breaker connectivity game on a complet

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Rybarczyk, Katarzyna. "Sharp Threshold Functions for Random Intersection Graphs via a Coupling Method." Electronic Journal of Combinatorics 18, no. 1 (2011). http://dx.doi.org/10.37236/523.

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We present a new method which enables us to find threshold functions for many properties in random intersection graphs. This method is used to establish sharp threshold functions in random intersection graphs for $k$–connectivity, perfect matching containment and Hamilton cycle containment.

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Daniel, Brito, Castro Oscar, and Marı́n Lope. "The graph of a base power b, associated to a positive integer number." July 22, 2021. https://doi.org/10.5281/zenodo.5728168.

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Many concepts of Number Theory were used in Graph Theory and several types of graphs have been introduced. We introduced the graph of a base power $b \in \mathbb{Z}^{+}-\{1\}$, associated to a positive integer number $n \in \mathbb{Z}^{+} $, denoted for $GP_{b}(n)$, with set of vertices $V=\{x\}_{x=1}^{n}$ and with set of edges: $$ E =\{ \{x, y\} \in 2^{\,V}: \exists r \in \mathbb{Z}^{+}\cup\{ 0 \} \mbox{, such that } | y \,-\, x | = b^{\,r} \} \mbox{,} $$ and we study some of its properties, in special for case $b=2$.

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Zhou, Qiannan, Hajo Broersma, Ligong Wang, and Yong Lu. "Sufficient Spectral Radius Conditions for Hamilton-Connectivity of k-Connected Graphs." Graphs and Combinatorics, July 16, 2021. http://dx.doi.org/10.1007/s00373-021-02369-8.

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AbstractWe present two new sufficient conditions in terms of the spectral radius $$\rho (G)$$ ρ ( G ) guaranteeing that a k-connected graph G is Hamilton-connected, unless G belongs to a collection of exceptional graphs. We use the Bondy–Chvátal closure to characterize these exceptional graphs.

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Zhong, Yubin, Sakander Hayat, and Asad Khan. "Hamilton-connectivity of line graphs with application to their detour index." Journal of Applied Mathematics and Computing, June 2, 2021. http://dx.doi.org/10.1007/s12190-021-01565-2.

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Wang, Li, Yanlin Chen, Zhixin Piao, et al. "Medial parietal alpha-frequency transcranial alternating current stimulation for chronic insomnia: a randomized sham-controlled trial." Psychological Medicine 55 (2025). https://doi.org/10.1017/s0033291725000625.

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Abstract Background Patients with chronic insomnia are characterized by alterations in default mode network and alpha oscillations, for which the medial parietal cortex (MPC) is a key node and thus a potential target for interventions. Methods Fifty-six adults with chronic insomnia were randomly assigned to 2 mA, alpha-frequency (10 Hz), 30 min active or sham transcranial alternating current stimulation (tACS) applied over the MPC for 10 sessions completed within two weeks, followed by 4- and 6-week visits. The connectivity of the dorsal and ventral posterior cingulate cortex (vPCC) was calcul

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Morriss, Richard, Paul M. Briley, Lucy Webster, et al. "Connectivity-guided intermittent theta burst versus repetitive transcranial magnetic stimulation for treatment-resistant depression: a randomized controlled trial." Nature Medicine, January 16, 2024. http://dx.doi.org/10.1038/s41591-023-02764-z.

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AbstractDisruption in reciprocal connectivity between the right anterior insula and the left dorsolateral prefrontal cortex is associated with depression and may be a target for neuromodulation. In a five-center, parallel, double-blind, randomized controlled trial we personalized resting-state functional magnetic resonance imaging neuronavigated connectivity-guided intermittent theta burst stimulation (cgiTBS) at a site based on effective connectivity from the right anterior insula to the left dorsolateral prefrontal cortex. We tested its efficacy in reducing the primary outcome depression sym

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Li, Hui, Wei Yan, Qianwen Wang, et al. "Mindfulness-Based Cognitive Therapy Regulates Brain Connectivity in Patients With Late-Life Depression." Frontiers in Psychiatry 13 (February 14, 2022). http://dx.doi.org/10.3389/fpsyt.2022.841461.

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Late-life depression (LLD) is an important public health problem among the aging population. Recent studies found that mindfulness-based cognitive therapy (MBCT) can effectively alleviate depressive symptoms in major depressive disorder. The present study explored the clinical effect and potential neuroimaging mechanism of MBCT in the treatment of LLD. We enrolled 60 participants with LLD in an 8-week, randomized, controlled trial (ChiCTR1800017725). Patients were randomized to the treatment-as-usual (TAU) group or a MBCT+TAU group. The Hamilton Depression Scale (HAMD) and Hamilton Anxiety Sca

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Gong, Haiyan, Hui Sun, Yeyang Ma, et al. "Prefrontal brain function in patients with chronic insomnia disorder: A pilot functional near-infrared spectroscopy study." Frontiers in Neurology 13 (December 15, 2022). http://dx.doi.org/10.3389/fneur.2022.985988.

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PurposeInsomnia is one of the most common diseases in elderly patients, which seriously affect the quality of life and psychological state of patients. The purpose of this study was to investigate the changes in the functional network pattern of the prefrontal cortex in patients with chronic insomnia disorder (CID) after taking drugs, using non-invasive and low-cost functional neuroimaging with multi-channel near-infrared spectroscopy (fNIRS).MethodsAll subjects were assessed using the Pittsburgh Sleep Quality Index (PSQI), Hamilton Depression Scale (HAMD), Hamilton Anxiety Scale (HAMA), and f

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Li, Xin, Wenzhao Liang, Zhicheng Li, et al. "Neuromuscular characteristics of transcranial direct current stimulation over dorsolateral prefrontal cortex in patients with chronic low back pain: a randomized, double-blind, controlled trial protocol." Frontiers in Human Neuroscience 19 (July 9, 2025). https://doi.org/10.3389/fnhum.2025.1586257.

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BackgroundChronic low back pain (cLBP) is a prevalent condition associated with poor rehabilitation outcomes and high recurrence rates. Previous studies suggest that the number, structure, and network patterns of trunk muscle synergy may contribute to this condition. Our previous research mapped the neural representation of cLBP trunk muscles in the primary motor cortex (M1) and identified a disrupted M1-trunk muscle synergy pattern. Recent studies indicate that the dorsolateral prefrontal cortex (DLPFC) has a key role in the internal connectivity of cLBP patients when coping with chronic pain

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Chen, Wen, Hao Hu, Qian Wu, et al. "Altered Static and Dynamic Interhemispheric Resting-State Functional Connectivity in Patients With Thyroid-Associated Ophthalmopathy." Frontiers in Neuroscience 15 (December 6, 2021). http://dx.doi.org/10.3389/fnins.2021.799916.

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Purpose: Thyroid-associated ophthalmopathy (TAO) is a debilitating and sight-threatening autoimmune disease that severely impairs patients’ quality of life. Besides the most common ophthalmic manifestations, the emotional and psychiatric disturbances are also usually observed in clinical settings. This study was to investigate the interhemispheric functional connectivity alterations in TAO patients using resting-state functional magnetic resonance imaging (rs-fMRI).Methods: Twenty-eight TAO patients and 22 healthy controls (HCs) underwent rs-fMRI scans. Static and dynamic voxel-mirrored homoto

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Chiba, Shuya, Michitaka Furuya, Kenta Ozeki, Masao Tsugaki, and Tomoki Yamashita. "A Degree Sum Condition on the Order, the Connectivity and the Independence Number for Hamiltonicity." Electronic Journal of Combinatorics 26, no. 4 (2019). http://dx.doi.org/10.37236/5480.

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In [Graphs Combin. 24 (2008) 469–483], the third author and the fifth author conjectured that if $G$ is a $k$-connected graph such that $\sigma_{k+1}(G) \ge |V(G)|+\kappa(G)+(k-2)(\alpha(G)-1)$, then $G$ contains a Hamilton cycle, where $\sigma_{k+1}(G)$, $\kappa(G)$ and $\alpha(G)$ are the minimum degree sum of $k+1$ independent vertices, the connectivity and the independence number of $G$, respectively. In this paper, we settle this conjecture. The degree sum condition is best possible.

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Zhang, Jia-ming, Xiao-bo Liu, Yu-xi Li, et al. "Characteristic activation pattern and network connectivity of prefrontal cortex in patients with type 2 diabetes mellitus and major depressive disorder during a verbal fluency task: A functional near-infrared spectroscopy study based on network-based statistic prediction." Neuroendocrinology, October 29, 2024, 1–21. http://dx.doi.org/10.1159/000542235.

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Introduction: Type 2 diabetes (T2DM) and major depressive disorder (MDD) together occur frequently among the elderly population. However, the inconsistency in assessments and limited medical resources in the community make it challenging to identify depression in patients with T2DM. This cross-sectional study aimed to investigate the activation pattern and network connectivity of prefrontal cortex (PFC) during a verbal fluency task (VFT) in patients with T2DM and MDD using functional near-infrared spectroscopy (fNIRS). Methods: Three parallel groups (T2DM with MDD group, T2DM group, and health

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Lobo, Bento J., Andy Novobilski, and Soumen Ghosh. "The Economic Impact Of Broadband: Estimates From A Regional Input-Output Model." Journal of Applied Business Research (JABR) 24, no. 2 (2011). http://dx.doi.org/10.19030/jabr.v24i2.1357.

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<p class="MsoNormal" style="text-align: justify; margin: 0in 0.5in 0pt; mso-layout-grid-align: none;"><span style="color: black; font-size: 10pt;"><span style="font-family: Times New Roman;">Like good roads, schools, and hospitals, cutting-edge broadband infrastructure is crucial to economic development and to the quality of life of local communities. Second-generation broadband (SGB), capable of supporting video, voice and data services simultaneously over a fiber-optic infrastructure, can provide users not merely faster internet connectivity, but a whole array of applicatio

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Mi, Wei-Feng, Serik Tabarak, Li Wang, et al. "Effects of agomelatine and mirtazapine on sleep disturbances in major depressive disorder: evidence from polysomnographic and resting-state functional connectivity analyses." Sleep 43, no. 11 (2020). http://dx.doi.org/10.1093/sleep/zsaa092.

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Abstract To investigate effects of agomelatine and mirtazapine on sleep disturbances in patients with major depressive disorder. A total of 30 depressed patients with sleep disturbances, 27 of which completed the study, took agomelatine or mirtazapine for 8 weeks. Subjective scales were administered, and polysomnography was performed at baseline and at the end of week 1 and 8. Functional magnetic resonance imaging was performed at baseline and at the end of week 8. Compared with baseline, scores on the Hamilton Depression Scale, Hamilton Anxiety Scale, Pittsburgh Sleep Quality Index, Sleep Dys

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