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Journal articles on the topic 'Index inversé'

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Published: 4 June 2021
Last updated: 5 February 2022

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1

Sedlar, Jelena, Dragan Stevanović, and Alexander Vasilyev. "On the inverse sum indeg index." Discrete Applied Mathematics 184 (March 2015): 202–12. http://dx.doi.org/10.1016/j.dam.2014.11.013.

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2

Pattabiraman, K. "Inverse sum indeg index of graphs." AKCE International Journal of Graphs and Combinatorics 15, no. 2 (August 1, 2018): 155–67. http://dx.doi.org/10.1016/j.akcej.2017.06.001.

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3

Falahati-Nezhad, Farzaneh, Mahdieh Azari, and Tomislav Došlić. "Sharp bounds on the inverse sum indeg index." Discrete Applied Mathematics 217 (January 2017): 185–95. http://dx.doi.org/10.1016/j.dam.2016.09.014.

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4

Ramane, Harishchandra S., Kartik S. Pise, and Daneshwari Patil. "Note on inverse sum indeg index of graphs." AKCE International Journal of Graphs and Combinatorics 17, no. 3 (April 23, 2020): 985–87. http://dx.doi.org/10.1016/j.akcej.2019.12.002.

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5

Gao, Yuefeng, Jianlong Chen, Pedro Patrício, and Dingguo Wang. "The pseudo core inverse of a companion matrix." Studia Scientiarum Mathematicarum Hungarica 55, no. 3 (September 2018): 407–20. http://dx.doi.org/10.1556/012.2018.55.3.1398.

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The notion of core inverse was introduced by Baksalary and Trenkler for a complex matrix of index 1. Recently, the notion of pseudo core inverse extended the notion of core inverse to an element of an arbitrary index in *-rings; meanwhile, it characterized the core-EP inverse introduced by Manjunatha Prasad and Mohana for complex matrices, in terms of three equations. Many works have been done on classical generalized inverses of companion matrices and Toeplitz matrices. In this paper, we discuss existence criteria and formulae of the pseudo core inverse of a companion matrix over a *-ring. A {1,3}-inverse of a Toeplitz matrix plays an important role in that process.
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6

Matejić, M. M., E. I. Milovanović, and I. Ž. Milovanović. "On relations between inverse sum indeg index and multiplicative sum Zagreb index." Scientific Publications of the State University of Novi Pazar Series A: Applied Mathematics, Informatics and mechanics 9, no. 2 (2017): 193–99. http://dx.doi.org/10.5937/spsunp1702193m.

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7

Camargo Rodríguez, Santiago, Jessica Andrea Franco López, Vivian Lorena Chud Pantoja, and Juan Carlos Osorio Gómez. "Dynamic simulation model to evaluate the environmental impact of production and reverse logistics of tire." Ingeniería y Desarrollo 35, no. 2 (June 15, 2017): 357–81. http://dx.doi.org/10.14482/inde.35.2.10165.

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8

Bharali, A., A. Mahanta, I. J. Gogoi, and Amitav Doley. "Inverse sum Indeg index and ISI matrix of graphs." Journal of Discrete Mathematical Sciences and Cryptography 23, no. 6 (August 17, 2020): 1315–33. http://dx.doi.org/10.1080/09720529.2020.1815340.

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9

Li, Fengwei, Xueliang Li, and Hajo Broersma. "Spectral properties of inverse sum indeg index of graphs." Journal of Mathematical Chemistry 58, no. 9 (September 10, 2020): 2108–39. http://dx.doi.org/10.1007/s10910-020-01170-x.

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10

Gutman, Ivan, M. MATEJIC, E. MILOVANOVIC, and I. MILOVANOVIC. "Lower Bounds for Inverse Sum Indeg Index of Graphs." Kragujevac Journal of Mathematics 44, no. 4 (December 2020): 551–62. http://dx.doi.org/10.46793/kgjmat2004.551g.

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Let G = (V,E), V = {1, 2,…,n}, be a simple connected graph with n vertices and m edges and let d1 ≥ d2 ≥⋅ ⋅⋅≥ dn > 0, be the sequence of its vertex degrees. With i ∼ j we denote the adjacency of the vertices i and j in G. The inverse sum indeg index is defined as ISI = ∑ -didj- di+dj with summation going over all pairs of adjacent vertices. We consider lower bounds for ISI. We first analyze some lower bounds reported in the literature. Then we determine some new lower bounds.
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11

Prasad, K. Manjunatha, and M. David Raj. "Bordering method to compute Core-EP inverse." Special Matrices 6, no. 1 (April 1, 2018): 193–200. http://dx.doi.org/10.1515/spma-2018-0016.

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Abstract Following the work of Kentaro Nomakuchi[10] and Manjunatha Prasad et.al., [7] which relate various generalized inverses of a given matrix with suitable bordering,we describe the explicit bordering required to obtain core-EP inverse, core-EP generalized inverse. The main result of the paper also leads to provide a characterization of Drazin index in terms of bordering.
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12

Prakasha, K. N. "Inverse Sum Status Energy of a Graph." International Journal for Research in Applied Science and Engineering Technology 9, no. VI (June 10, 2021): 86–92. http://dx.doi.org/10.22214/ijraset.2021.34849.

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Motivated by the inverse sum status index, we introduce the inverse sum status matrix ISS={■((σ_u σ_v)/((σ_u+σ_v ) ) if u_i~v_j,@0 otherwise)┤ Thus we also obtained the results for well known graphs. Keywords: Inverse sum status energy, Inverse Sum Indeg matrix. 2010 AMS Subject Classification: 05C50.
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13

Pattabiraman, K. "Inverse sum indeg coindex of graphs." Carpathian Mathematical Publications 11, no. 2 (December 31, 2019): 399–406. http://dx.doi.org/10.15330/cmp.11.2.399-406.

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The inverse sum indeg coindex $\overline{ISI}(G)$ of a simple connected graph $G$ is defined as the sum of the terms $\frac{d_G(u)d_G(v)}{d_G(u)+d_G(v)}$ over all edges $uv$ not in $G,$ where $d_G(u)$ denotes the degree of a vertex $u$ of $G.$ In this paper, we present the upper bounds on inverse sum indeg coindex of edge corona product graph and Mycielskian graph. In addition, we obtain the exact value of both inverse sum indeg index and its coindex of a double graph.
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14

Hafeez, Sumaira, and Rashid Farooq. "On generalized inverse sum indeg index and energy of graphs." AIMS Mathematics 5, no. 3 (2020): 2388–411. http://dx.doi.org/10.3934/math.2020158.

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15

Matejić, M. M., I. Ž. Milovanović, and E. I. Milovanović. "Upper bounds for the inverse sum indeg index of graphs." Discrete Applied Mathematics 251 (December 2018): 258–67. http://dx.doi.org/10.1016/j.dam.2018.05.060.

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16

Pattabiraman, K., and A. Santhakumar. "On Topological Indices of Sudoku Graphs and Titania TiO2 Nanotubes." International Journal of Advanced Research in Computer Science and Software Engineering 7, no. 12 (December 30, 2017): 96. http://dx.doi.org/10.23956/ijarcsse.v7i12.514.

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In this paper, we obtain the exact formulae for some topological indices such as the general sum-connectivity index, atom-bond connectivity index, geometric arithmetic index, inverse sum indeg index, symmetric division deg index and harmonic polynomial of titania TiO2 Nanotubes and Sudoku graphs.
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17

Sigarreta, José M. "Mathematical Properties of Variable Topological Indices." Symmetry 13, no. 1 (December 30, 2020): 43. http://dx.doi.org/10.3390/sym13010043.

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A topic of current interest in the study of topological indices is to find relations between some index and one or several relevant parameters and/or other indices. In this paper we study two general topological indices Aα and Bα, defined for each graph H=(V(H),E(H)) by Aα(H)=∑ij∈E(H)f(di,dj)α and Bα(H)=∑i∈V(H)h(di)α, where di denotes the degree of the vertex i and α is any real number. Many important topological indices can be obtained from Aα and Bα by choosing appropriate symmetric functions and values of α. This new framework provides new tools that allow to obtain in a unified way inequalities involving many different topological indices. In particular, we obtain new optimal bounds on the variable Zagreb indices, the variable sum-connectivity index, the variable geometric-arithmetic index and the variable inverse sum indeg index. Thus, our approach provides both new tools for the study of topological indices and new bounds for a large class of topological indices. We obtain several optimal bounds of Aα (respectively, Bα) involving Aβ (respectively, Bβ). Moreover, we provide several bounds of the variable geometric-arithmetic index in terms of the variable inverse sum indeg index, and two bounds of the variable inverse sum indeg index in terms of the variable second Zagreb and the variable sum-connectivity indices.
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18

Chen, Hanlin, and Hanyuan Deng. "The inverse sum indeg index of graphs with some given parameters." Discrete Mathematics, Algorithms and Applications 10, no. 01 (February 2018): 1850006. http://dx.doi.org/10.1142/s1793830918500064.

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Let [Formula: see text] be a simple connected graph. The inverse sum indeg index of [Formula: see text], denoted by [Formula: see text], is defined as the sum of the weights [Formula: see text] of all edges [Formula: see text] of [Formula: see text], where [Formula: see text] denotes the degree of a vertex in [Formula: see text]. In this paper, we derive some bounds for the inverse sum indeg index in terms of some graph parameters, such as vertex (edge) connectivity, chromatic number, vertex bipartiteness, etc. The corresponding extremal graphs are characterized, respectively.
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19

Wang, Hongxing, and Jianlong Chen. "Weak group inverse." Open Mathematics 16, no. 1 (October 31, 2018): 1218–32. http://dx.doi.org/10.1515/math-2018-0100.

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AbstractIn this paper, we introduce the weak group inverse (called as the WG inverse in the present paper) for square complex matrices of an arbitrary index, and give some of its characterizations and properties. Furthermore, we introduce two orders: one is a pre-order and the other is a partial order, and derive several characterizations of the two orders. The paper ends with a characterization of the core EP order using WG inverses.
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20

Doley, Amitav, and A. Bharali. "SOME BOUNDS ON INVERSE SUM INDEG INDEX OF SOME GRAPH OPERATIONS." Advances and Applications in Discrete Mathematics 21, no. 2 (July 10, 2019): 119–37. http://dx.doi.org/10.17654/dm021020119.

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21

Gutman, Ivan, José M. Rodríguez, and José M. Sigarreta. "Linear and non-linear inequalities on the inverse sum indeg index." Discrete Applied Mathematics 258 (April 2019): 123–34. http://dx.doi.org/10.1016/j.dam.2018.10.041.

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22

An, Mingqiang, and Liming Xiong. "Some results on the inverse sum indeg index of a graph." Information Processing Letters 134 (June 2018): 42–46. http://dx.doi.org/10.1016/j.ipl.2018.02.006.

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23

Chen, Xiaodan, Xiuyu Li, and Wenshui Lin. "On connected graphs and trees with maximal inverse sum indeg index." Applied Mathematics and Computation 392 (March 2021): 125731. http://dx.doi.org/10.1016/j.amc.2020.125731.

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24

Jiang, Yisheng, and Mei Lu. "A note on the minimum inverse sum indeg index of cacti." Discrete Applied Mathematics 302 (October 2021): 123–28. http://dx.doi.org/10.1016/j.dam.2021.06.011.

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25

Rani, Anam, Muhammad Imran, and Usman Ali. "Sharp Bounds for the Inverse Sum Indeg Index of Graph Operations." Mathematical Problems in Engineering 2021 (June 8, 2021): 1–11. http://dx.doi.org/10.1155/2021/5561033.

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Vukičević and Gasperov introduced the concept of 148 discrete Adriatic indices in 2010. These indices showed good predictive properties against the testing sets of the International Academy of Mathematical Chemistry. Among these indices, twenty indices were taken as beneficial predictors of physicochemical properties. The inverse sum indeg index denoted by ISI G k of G k is a notable predictor of total surface area for octane isomers and is presented as ISI G k = ∑ g k g k ′ ∈ E G k d G k g k d G k g k ′ / d G k g k + d G k g k ′ , where d G k g k represents the degree of g k ∈ V G k . In this paper, we determine sharp bounds for ISI index of graph operations, including the Cartesian product, tensor product, strong product, composition, disjunction, symmetric difference, corona product, Indu–Bala product, union of graphs, double graph, and strong double graph.
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26

Ali, Akbar, Marjan Matejic, Emina Milovanovic, and Igor Milovanovic. "Some new upper bounds for the inverse sum indeg index of graphs." Electronic Journal of Graph Theory and Applications 8, no. 1 (April 2, 2020): 59–70. http://dx.doi.org/10.5614/ejgta.2020.8.1.5.

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27

Manjunath, Muddalapuram, V. Lokesha, Suvarna, and Sushmitha Jain. "Bounds for the Topological Indices of ℘ graph." European Journal of Pure and Applied Mathematics 14, no. 2 (May 18, 2021): 340–50. http://dx.doi.org/10.29020/nybg.ejpam.v14i2.3715.

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Topological indices are mathematical measure which correlates to the chemical structures of any simple finite graph. These are used for Quantitative Structure-Activity Relationship (QSAR) and Quantitative Structure-Property Relationship (QSPR). In this paper, we define operator graph namely, ℘ graph and structured properties. Also, establish the lower and upper bounds for few topological indices namely, Inverse sum indeg index, Geometric-Arithmetic index, Atom-bond connectivity index, first zagreb index and first reformulated Zagreb index of ℘-graph.
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28

Togan, Muge, Aysun Yurttas, Utkum Sanli, Feriha Celik, and Ismail Cangual. "Inverse problem for Bell index." Filomat 34, no. 2 (2020): 615–21. http://dx.doi.org/10.2298/fil2002615t.

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Due to their applications in many branches of science, topological graph indices are becoming more popular every day. Especially as one can model chemical molecules by graphs to obtain valuable information about the molecules using solely mathematical calculations on the graph. The inverse problem for topological graph indices is a recent problem proposed by Gutman and is about the existence of a graph having its index value equal to a given non-negative integer. In this paper, the inverse problem for Bell index which is one of the irregularity indices is solved. Also a recently defined graph invariant called omega invariant is used to obtain several properties related to the Bell index.
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29

Lin, Jung-Chu. "Does the inverse exchange-traded fund trading convey a bearish signal to the market?" Investment Management and Financial Innovations 13, no. 2 (July 14, 2016): 279–84. http://dx.doi.org/10.21511/imfi.13(2-2).2016.02.

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This paper investigates whether inverse exchange-traded fund (ETF) trading can predict future negative underlying index returns. Using inverse ETF’s turnover rates and price volatilities to represent trading activities, this paper discovers that inverse ETF trading is significantly and positively related to future index returns and infers that the trading of inverse ETFs may not reflect informed pessimistic trading and cannot convey a bearish signal to the market. The trading activities in inverse ETFs do provide information about future index returns, yet what they reflect may be a lagging or less-informed bearish signal
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30

Das, Kinkar, Selvaraj Balachandran, and Ivan Gutman. "Inverse degree, Randic index and harmonic index of graphs." Applicable Analysis and Discrete Mathematics 11, no. 2 (2017): 304–13. http://dx.doi.org/10.2298/aadm1702304d.

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Let G be a graph with vertex set V and edge set E. Let di be the degree of the vertex vi of G. The inverse degree, Randic index, and harmonic index of G are defined as ID = ?vi?V 1/di, R = ? vivj?E 1/?di dj , and H = ? vivj?E 2=(di + dj), respectively. We obtain relations between ID and R as well as between ID and H. Moreover, we prove that in the case of trees, ID > R and ID > H.
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31

Wu, Ming Yan, and Qun Zhi Zhu. "An Inverse Research Method for the Radiation Characteristics Based on Particle Swarm Optimization Algorithm." Advanced Materials Research 860-863 (December 2013): 867–71. http://dx.doi.org/10.4028/www.scientific.net/amr.860-863.867.

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Based on the experimental results of transmittance, particle swarm optimization (PSO) algorithm was adopted to establish inverse research model to calculate the refractive index and absorption index of nanofluids, we used the inverse calculation model to calculate the refractive index and absorption index of water and aqueous nanofluids, comparing inverse calculation results with experimental results, it turned out that inverse calculation model can accurately calculate the refractive index and absorption index of nanofluids.
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32

AlAli, Amal, and N. D. Gilbert. "Inverse subsemigroups of finite index in finitely generated inverse semigroups." Semigroup Forum 96, no. 3 (July 5, 2017): 489–505. http://dx.doi.org/10.1007/s00233-017-9886-1.

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33

Rajendra, R., K. B. Mahesh, and P. S. K. Reddy. "MAHESH INVERSE TENSION INDEX FOR GRAPHS." Advances in Mathematics: Scientific Journal 9, no. 11 (November 21, 2020): 10163–70. http://dx.doi.org/10.37418/amsj.9.12.8.

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34

Kurz, Sascha. "On the inverse power index problem." Optimization 61, no. 8 (August 2012): 989–1011. http://dx.doi.org/10.1080/02331934.2011.587008.

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35

Ramírez, Angel, Gerardo Reyna, and Omar Rosario. "SPECTRAL STUDY OF THE INVERSE INDEX." Advances and Applications in Discrete Mathematics 19, no. 3 (August 31, 2018): 195–211. http://dx.doi.org/10.17654/dm019030195.

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36

Rodríguez, José M., José L. Sánchez, and José M. Sigarreta. "Inequalities on the inverse degree index." Journal of Mathematical Chemistry 57, no. 5 (March 22, 2019): 1524–42. http://dx.doi.org/10.1007/s10910-019-01022-3.

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37

Ahmed, Dilan, Mudhafar Hama, Karwan Hama Faraj Jwamer, and Stanford Shateyi. "A Seventh-Order Scheme for Computing the Generalized Drazin Inverse." Mathematics 7, no. 7 (July 12, 2019): 622. http://dx.doi.org/10.3390/math7070622.

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One of the most important generalized inverses is the Drazin inverse, which is defined for square matrices having an index. The objective of this work is to investigate and present a computational tool in the form of an iterative method for computing this task. This scheme reaches the seventh rate of convergence as long as a suitable initial matrix is chosen and by employing only five matrix products per cycle. After some analytical discussions, several tests are provided to show the efficiency of the presented formulation.
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38

Ferreyra, David, Marina Lattanzi, Fabián Levis, and Néstor Thome. "Parametrized solutions $X$ of the system $AXA = AY A$ and $A^k Y AX = XAY A^k$." Electronic Journal of Linear Algebra 35 (November 14, 2019): 503–10. http://dx.doi.org/10.13001/1081-3810.4051.

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Let A and E be n × n given complex matrices. This paper provides a necessary and sufficient condition for the solvability to the matrix equation system given by AXA = AEA and AkEAX = XAEAk, for k being the index of A. In addition, its general solution is derived in terms of a G-Drazin inverse of A. As consequences, new representations are obtained for the set of all G-Drazin inverses; some interesting applications are also derived to show the importance of the obtained formulas.
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39

KAYA GÖK, Gülistan. "On The Inverse Sum In Degree Index and Co Index." Cumhuriyet Science Journal 40, no. 2 (June 30, 2019): 369–77. http://dx.doi.org/10.17776/csj.490918.

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40

Gutman, Ivan, Xueliang Li, and Yaping Mao. "Inverse problem on the Steiner Wiener index." Discussiones Mathematicae Graph Theory 38, no. 1 (2018): 83. http://dx.doi.org/10.7151/dmgt.2000.

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41

Fink, Jiří, Borut Lužar, and Riste Škrekovski. "Some remarks on inverse Wiener index problem." Discrete Applied Mathematics 160, no. 12 (August 2012): 1851–58. http://dx.doi.org/10.1016/j.dam.2012.02.028.

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42

Jawad, Abdul, and Shahid Chaudhary. "Power-law plateau and inverse symmetric inflation." International Journal of Modern Physics D 27, no. 08 (May 30, 2018): 1850087. http://dx.doi.org/10.1142/s0218271818500876.

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Warm generalized Chaplygin gas inflation is being studied by assuming power-law plateau and inverse symmetric potentials with standard scalar field model. We consider strong dissipative regime with generalized dissipative coefficient and extract the various inflationary parameters such as scalar power spectrum, spectral index, tensor-to-scalar ratio and running of spectral index. It is found that both inflationary potentials favor the strong dissipative regime. Also, we construct the [Formula: see text]–[Formula: see text] (running of spectral index versus spectral index) and [Formula: see text]–[Formula: see text] (tensor-to-scalar ratio versus spectral index) planes and found that the trajectories of these planes favor WMAP 7 [Formula: see text] WMAP 9 and latest Planck data.
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43

Mohanappriya, G., and D. Vijayalakshmi. "Symmetric division degree index and inverse sum index of transformation graph." Journal of Physics: Conference Series 1139 (December 2018): 012048. http://dx.doi.org/10.1088/1742-6596/1139/1/012048.

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44

Asif, Muhammad, Muhammad Hussain, Hamad Almohamedh, Khalid M. Alhamed, and Sultan Almotairi. "An Approach to the Extremal Inverse Degree Index for Families of Graphs with Transformation Effect." Journal of Chemistry 2021 (February 28, 2021): 1–8. http://dx.doi.org/10.1155/2021/6657039.

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The inverse degree index is a topological index first appeared as a conjuncture made by computer program Graffiti in 1988. In this work, we use transformations over graphs and characterize the inverse degree index for these transformed families of graphs. We established bonds for different families of n -vertex connected graph with pendent paths of fixed length attached with fully connected vertices under the effect of transformations applied on these paths. Moreover, we computed exact values of the inverse degree index for regular graph specifically unicyclic graph.
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45

Byl, Simon, and Gilles Maloney. "Index inverses du vocabulaire hippocratique." Phoenix 46, no. 1 (1992): 92. http://dx.doi.org/10.2307/1088787.

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46

Doley, Amitav, Jibonjyoti Buragohain, and A. Bharali. "Inverse sum indeg status index of graphs and its applications to octane isomers and benzenoid hydrocarbons." Chemometrics and Intelligent Laboratory Systems 203 (August 2020): 104059. http://dx.doi.org/10.1016/j.chemolab.2020.104059.

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47

Zhao, Weidong, M. C. Shanmukha, A. Usha, Mohammad Reza Farahani, and K. C. Shilpa. "Computing SS Index of Certain Dendrimers." Journal of Mathematics 2021 (September 24, 2021): 1–14. http://dx.doi.org/10.1155/2021/7483508.

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The numerical descriptor gathers the data from the molecular graphs and helps to know the characteristics of the chemical structure known as topological index. The QSAR/QSPR/QSTR studies are benefited with the significant role played by topological indices in the drug design. Topological indices provide the information about the physical/chemical/biological properties of chemical compounds. The Zagreb indices are widely studied because of their extensive usage in chemical graph theory. Inspired by the earlier work on inverse sum indeg index (ISI index), novel topological index known as SS index is introduced and computed for four dendrimer structures. Also, the strong correlation coefficient between SS index and 5 physico-chemical characteristics such as boiling point (bp), molar volume (mv), molar refraction (mr), heats of vaporization (hv), and critical pressure (cp) of 67 alkane isomers have been determined. It is found that newly introduced index has shown good correlation in comparison with three most popular existing indices (ISI index and first and second Zagreb indices). In the last part, the mathematical properties of SS index are discussed.
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48

Li, Hai-Xia, Sarfaraz Ahmad, and Iftikhar Ahmad. "Topology-Based Analysis of OTIS (Swapped) Networks OKn and OPn." Journal of Chemistry 2019 (November 7, 2019): 1–11. http://dx.doi.org/10.1155/2019/4291943.

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In the fields of chemical graph theory, topological index is a type of a molecular descriptor that is calculated based on the graph of a chemical compound. In this paper, M-polynomial OKn and OPn networks are computed. The M-polynomial is rich in information about degree-based topological indices. By applying the basic rules of calculus on M-polynomials, the first and second Zagreb indices, modified second Zagreb index, general Randić index, inverse Randić index, symmetric division index, harmonic index, inverse sum index, and augmented Zagreb index are recovered.
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49

Khan, Taufiquar, and Alan Thomas. "Inverse problem in refractive index based optical tomography." Inverse Problems 22, no. 4 (June 1, 2006): 1121–37. http://dx.doi.org/10.1088/0266-5611/22/4/001.

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50

Kanchan, Tanuj, and Kewal Krishan. "Inverse association between body mass index and suicide?" International Journal of Legal Medicine 128, no. 2 (December 5, 2013): 401. http://dx.doi.org/10.1007/s00414-013-0947-z.

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