Results 11 to 20 of about 85 (78)
, 2022 The irregularity Sombor index ISO is a recently introduced measure for graph irregularity, defined as the sum over all pairs of adjacent ! vertices u, v of the term, where du is the degree of the vertex u.
Kulli, Veerabhadrappa R. +2 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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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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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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Szeged Indices of Bicyclic Graphs with Applications as Molecular Descriptor [PDF]
, 2023 Molecular descriptors are mathematical representations of molecular properties, generated through numerous algorithms. These numerical values are used to quantitatively represent the physical and chemical attributes of molecules. In the field of chemical
Babai, Azam +2 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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Computing the Hosoya Polynomial of M‐th Level Wheel and Its Subdivision Graph
Journal of Chemistry, Volume 2021, Issue 1, 2021., 2021 The determination of Hosoya polynomial is the latest scheme, and it provides an excellent and superior role in finding the Weiner and hyper‐Wiener index. The application of Weiner index ranges from the introduction of the concept of information theoretic analogues of topological indices to the use as major tool in crystal and polymer studies.
Peng Xu +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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General Randić indices of a graph and its line graph
Open Mathematics, 2023 For a real number α\alpha , the general Randić index of a graph GG, denoted by Rα(G){R}_{\alpha }\left(G), is defined as the sum of (d(u)d(v))α{\left(d\left(u)d\left(v))}^{\alpha } for all edges uvuv of GG, where d(u)d\left(u) denotes the degree of a ...
Liang Yan, Wu Baoyindureng
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