Academic literature on the topic 'Sum connectivity index'

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Journal articles on the topic "Sum connectivity index"

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Farahani, Mohammad Reza. "The General Connectivity and General Sum-Connectivity Indices of Nanostructures." International Letters of Chemistry, Physics and Astronomy 44 (January 2015): 73–80. http://dx.doi.org/10.18052/www.scipress.com/ilcpa.44.73.

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Let G be a simple graph with vertex set V(G) and edge set E(G). For ∀νi∈V(G),di denotes the degree of νi in G. The Randić connectivity index of the graph G is defined as [1-3] χ(G)=∑e=v1v2є(G)(d1d2)-1/2. The sum-connectivity index is defined as χ(G)=∑e=v1v2є(G)(d1+d2)-1/2. The sum-connectivity index is a new variant of the famous Randić connectivity index usable in quantitative structure-property relationship and quantitative structure-activity relationship studies. The general m-connectivety and general m-sum connectivity indices of G are defined as mχ(G)=∑e=v1v2...vim+1(1/√(di1di2...dim+1)
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Farahani, Mohammad Reza. "The General Connectivity and General Sum-Connectivity Indices of Nanostructures." International Letters of Chemistry, Physics and Astronomy 44 (January 14, 2015): 73–80. http://dx.doi.org/10.56431/p-892ddt.

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Let G be a simple graph with vertex set V(G) and edge set E(G). For ∀νi∈V(G),di denotes the degree of νi in G. The Randić connectivity index of the graph G is defined as [1-3] χ(G)=∑e=v1v2є(G)(d1d2)-1/2. The sum-connectivity index is defined as χ(G)=∑e=v1v2є(G)(d1+d2)-1/2. The sum-connectivity index is a new variant of the famous Randić connectivity index usable in quantitative structure-property relationship and quantitative structure-activity relationship studies. The general m-connectivety and general m-sum connectivity indices of G are defined as mχ(G)=∑e=v1v2...vim+1(1/√(di1di2...dim+1)
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V.R.Kulli. "DIFFERENT VERSIONS OF ATOM BOND SUM CONNECTIVITY INDEX." INTERNATIONAL JOURNAL OF ENGINEERING SCIENCES & RESEARCH TECHNOLOGY 12, no. 3 (2023): 1–11. https://doi.org/10.5281/zenodo.7722786.

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We introduce some new atom bond sum connectivity indices: second, third and fourth atom bond sum connectivity indices of a graph. In this paper, we compute the atom bond sum connectivity index, the second, third and fourth atom bond sum connectivity indices and neighborhood sum atom bond connectivity index of some important chemical drugs such as chloroquine, hydroxychloroquine and remdesivir.
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Wang, Shilin, Zhou Bo, and Nenad Trinajstic. "On the sum-connectivity index." Filomat 25, no. 3 (2011): 29–42. http://dx.doi.org/10.2298/fil1103029w.

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The sum-connectivity index of a simple graph G is defined in mathematical chemistry as R+(G) = ? uv?E(G)(du+dv)?1/2, where E(G) is the edge set of G and du is the degree of vertex u in G. We give a best possible lower bound for the sum-connectivity index of a graph (a triangle-free graph, respectively) with n vertices and minimum degree at least two and characterize the extremal graphs, where n ? 11.
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Zhou, Bo, and Nenad Trinajstić. "On general sum-connectivity index." Journal of Mathematical Chemistry 47, no. 1 (2009): 210–18. http://dx.doi.org/10.1007/s10910-009-9542-4.

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Phanjoubam, Chinglensana, and Sainkupar Mawiong. "A note on general sum-connectivity index." Proyecciones (Antofagasta) 42, no. 6 (2023): 1537–47. http://dx.doi.org/10.22199/issn.0717-6279-5676.

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For a simple finite graph G, general sum-connectivity index is defined for any real number α as χα(G) = , which generalises both the first Zagreb index and the ordinary sum-connectivity index. In this paper, we present some new bounds for the general sum-connectivity index. We also present relation between general sum-connectivity index and general Randić index.
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V.R.Kulli. "DOMINATION ATOM BOND SUM CONNECTIVITY INDICES OF CERTAIN NANOSTRUCTURES." INTERNATIONAL JOURNAL OF ENGINEERING SCIENCES & RESEARCH TECHNOLOGY 12, no. 8 (2023): 9–16. https://doi.org/10.5281/zenodo.8310981.

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In this paper, we introduce the domination atom bond sum connectivity index, multiplicative domination atom bond sum connectivity index and domination atom bond sum connectivity exponential of a graph. Also we determine these newly defined domination atom bond sum connectivity indices for some chemical drugs such as chloroquine and hydroxychloroquine.
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V.R., Kulli *. "MULTIPLICATIVE PRODUCT CONNECTIVITY AND MULTIPLICATIVE SUM CONNECTIVITY INDICES OF DENDRIMER NANOSTARS." INTERNATIONAL JOURNAL OF ENGINEERING SCIENCES & RESEARCH TECHNOLOGY 7, no. 2 (2018): 278–83. https://doi.org/10.5281/zenodo.1173466.

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In Chemical Graph Theory, the connectivity indices are applied to measure the chemical characteristics of compounds. In this paper, we compute the multiplicative product connectivity index and the multiplicative sum connectivity index of three infinite families NS<sub>1</sub>[n], NS<sub>2</sub>[n], NS<sub>3</sub>[n] dendrimer nanostars. &nbsp; <strong>Mathematics Subject Classification :</strong> 05<em>C</em>05, 05<em>C</em>012, 05<em>C</em>090
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Xing, Rundan, Bo Zhou, and Nenad Trinajstić. "Sum-connectivity index of molecular trees." Journal of Mathematical Chemistry 48, no. 3 (2010): 583–91. http://dx.doi.org/10.1007/s10910-010-9693-3.

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Das, Kinkar Ch, Sumana Das, and Bo Zhou. "Sum-connectivity index of a graph." Frontiers of Mathematics in China 11, no. 1 (2015): 47–54. http://dx.doi.org/10.1007/s11464-015-0470-2.

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Book chapters on the topic "Sum connectivity index"

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Qiu, Xiuliang, Chengxi Hong, and Wenshui Lin. "Proof of a Conjecture on the Minimum ABS Index of Bicyclic Graphs." In Advances in Transdisciplinary Engineering. IOS Press, 2024. http://dx.doi.org/10.3233/atde240807.

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The atom-bond sum-connectivity (ABS) index of a connected graph G = (V,E) is defined as ABS(G) = ∑uv∈E√((d(u)+d(v)-2)/(d(u)+d(v))), where d(w) is the degree of vertex w ∈ V. It was shown that this recently proposed topological index has comparable predictive applicability in chemistry with some famous indices, such as the Randić index, sum-connectivity index, and atom-bond connectivity index. Recently, the chemical bicyclic graphs with minimum ABS index were characterized. It was conjectured that this result also holds for general bicyclic graphs. We confirm this conjecture in the present pape
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Khan, Tahmeena, and Alfred J. Lawrence. "Technological Interventions and Indoor Air Quality Assessment in Smart Environments: A Review." In Indoor Air Quality Assessment for Smart Environments. IOS Press, 2022. http://dx.doi.org/10.3233/aise220004.

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Indoor air quality (IAQ) is among the topmost environmental hazards associated with the health of human beings. The concentrations of indoor pollutants could be several times more than outdoors. Increasing environmental pollution and global warming are also responsible for climate change. Variations in climatic conditions also add to the worsening of IAQ. The majority of time is spent indoors and adequate ventilation, thermal performance and desirable IAQ are important parameters of concern in indoor settings. Usage of HVAC (heating, ventilation, air conditioning) equipment accounts for the hu
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Conference papers on the topic "Sum connectivity index"

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Shuying, Peng. "Progress in general sum-connectivity index." In 2011 International Conference on Electronics, Communications and Control (ICECC). IEEE, 2011. http://dx.doi.org/10.1109/icecc.2011.6067751.

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Tache, Rozica-Maria, and Ioan Tomescu. "General Sum-Connectivity Index with a = 1 for Trees and Unicyclic Graphs with k Pendants." In 2015 17th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC). IEEE, 2015. http://dx.doi.org/10.1109/synasc.2015.55.

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Nofal, Salman Farhan, Fazeel Ahmad, Dr Ahmad Shmakhy, et al. "Multi-Lateral Jetting Technology Results in a 150% Uplift in Production During a Second Offshore Application in Abu Dhabi Offshore Field." In International Petroleum Technology Conference. IPTC, 2022. http://dx.doi.org/10.2523/iptc-21959-ea.

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Abstract Objective/scope Demonstrate technology effectiveness following improvements to system to increase robustness and refine operations following the initial Pilot Well deployed January 2016. The first Abu Dhabi Offshore well was deemed to be a success (reference SPE-183465-MS) despite deployment challenges during the lower completion phase. There was an opportunity to address these challenges for the second well, in the deployment of well -1 which from an operational perspective was textbook. In the search for an improvement to the Productivity index (PI), multi-lateral acid jetting techn
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Abdel-Basset, Mohamed, Jaime Orjuela Rodriguez, Karim Slimani, Mostafa Afifi, Mariam A. Jamal, and Mariam Ahmad Al-Shuaib. "Reservoir to Tank: Fit for Purpose Integrated Workflows for Waterflood Management and Production Enhancement." In Abu Dhabi International Petroleum Exhibition & Conference. SPE, 2021. http://dx.doi.org/10.2118/207316-ms.

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Abstract Integrated solutions are important to formulate plans for mature reservoirs under waterflooding due to related dynamic changes and uncertainties. The reservoir and field management need to be handled as an integrated system, and therefore needing a multidisciplinary approach. This paper demonstrates how the integrated multidisciplinary team has developed several workflows covering water-flooding management, production enhancement and maximizing the economic recovery of reservoirs in the North Kuwait asset. Many integrated workflows were developed for water flooding and production opti
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