Results 1 to 10 of about 132 (84)
On the maximum atom-bond sum-connectivity index of graphs
Open MathematicsThe atom-bond sum-connectivity (ABS) index of a graph GG with edges e1,…,em{e}_{1},\ldots ,{e}_{m} is the sum of the numbers 1−2(dei+2)−1\sqrt{1-2{\left({d}_{{e}_{i}}+2)}^{-1}} over 1≤i≤m1\le i\le m, where dei{d}_{{e}_{i}} is the number of edges adjacent
Alraqad Tariq +3 more
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Five results on maximizing topological indices in graphs [PDF]
Discrete Mathematics & Theoretical Computer Science, 2021 In this paper, we prove a collection of results on graphical indices. We determine the extremal graphs attaining the maximal generalized Wiener index (e.g. the hyper-Wiener index) among all graphs with given matching number or independence number.
Stijn Cambie
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Computation of zagreb polynomials and zagreb indices for benzenoid triangular & hourglass system [PDF]
, 2022 In this article, we study benzenoid Triangular system and benzenoidHourglass system and we compute Zagreb polynomials for benzenoidTriangular system and benzenoid Hourglass system and from these Zagrebpolynomials we catch up degree based Zagreb ...
Chu, Yu-Ming +4 more
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, 2022 A Special Volume on Chemical Graph Theory in Memory of Nenad TrinajsticWe introduce a degree–based variable topological index inspired on the power (or generalized) mean. We name this new index as the mean Sombor index: SOα(G) = P uv∈E(G) [(d α u + d α v
Aguilar-Sánchez, R. +3 more
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On inverse sum indeg energy of graphs
Special Matrices, 2023 For a simple graph with vertex set {v1,v2,…,vn}\left\{{v}_{1},{v}_{2},\ldots ,{v}_{n}\right\} and degree sequence dvii=1,2,…,n{d}_{{v}_{i}}\hspace{0.33em}i=1,2,\ldots ,n, the inverse sum indeg matrix (ISI matrix) AISI(G)=(aij){A}_{{\rm{ISI}}}\left(G ...
Jamal Fareeha +2 more
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Energy of a digraph with respect to a VDB topological index
Special Matrices, 2022 Let DD be a digraph with vertex set VV and arc set EE. For a vertex uu, the out-degree and in-degree of uu are denoted by du+{d}_{u}^{+} and du−{d}_{u}^{-}, respectively.
Monsalve Juan, Rada Juan
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Mostar index of graphs associated to groups
Main Group Metal Chemistry, 2022 A bond-additive connectivity index, named as the Mostar index, is used to measure the amount of peripheral edges of a simple connected graph, where a peripheral edge in a graph is an edge whose one end vertex has more number of vertices closer as ...
Rehman Masood Ur +4 more
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Extremal problems on the general Sombor index of a graph [PDF]
, 2022 In this work we obtain new lower and upper optimal bounds of general Sombor indices. Specifically, we get inequalities for these indices relating them with other indices: the first Zagreb index, the forgotten index and the first variable Zagreb index ...
Hernandez, Juan C. +3 more
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Some topological indices of dendrimers determined by their Banhatti polynomials
Heterocyclic Communications, 2020 Several properties of chemical compounds in a molecular structure can be determined with the aid of mathematical languages provided by various types of topological indices.
Chu Zheng-Qing +6 more
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Open Chemistry, 2021 In the study of chemical graph theory, an enormous number of research analyses have confirmed that the characteristics of chemicals have a nearby connection with their atomic structure.
Chen Shu-Bo +4 more
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