Results 1 to 10 of about 5,776,880 (162)
Hyper-Zagreb index in fuzzy environment and its application [PDF]
HeliyonThe Zagreb indices (ZIs) are important graph invariants that are used extensively in many different fields in mathematics and chemistry, such as network theory, spectral graph theory, fuzzy graph theory (FGT) and molecular chemistry, etc. The hyper-ZI is
Sk Rabiul Islam +2 more
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New bounds on the hyper-Zagreb index for the simple connected graphs
Electronic Journal of Graph Theory and Applications, 2018 The hyper-Zagreb index of a simple connected graph G is defined by χ2(G) = ∑uv ∈ E(G)(d(u) + d(v))2. In this paper, we establish, analyze and compare some new upper bounds on the Hyper-Zagreb index in terms of the number of vertices n, number of edges m,
Suresh Elumalai +2 more
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Alexandria Engineering Journal, 2023 Introduced by Gutman & Trinajstić in 1972, the two well-known Zagreb indices efficiently determine the total π-electron energy of alternant hydrocarbons. The hyper-Zagreb index is a variant of the classical first Zagreb index.
Sakander Hayat +4 more
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The Second Hyper-Zagreb Coindex of Chemical Graphs and Some Applications
Journal of Chemistry, 2021 The second hyper-Zagreb coindex is an efficient topological index that enables us to describe a molecule from its molecular graph. In this current study, we shall evaluate the second hyper-Zagreb coindex of some chemical graphs. In this study, we compute
Ahmed Ayache +3 more
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The hyper-Zagreb index of cacti with perfect matchings
AKCE International Journal of Graphs and Combinatorics, 2020 Let be a simple connected graph. The hyper-Zagreb index is defined as . A connected graph is a cacti if all blocks of are either edges or cycles. Let be the set of cacti of order with a perfect matching and cycles. In this paper, we determine sharp upper
Hechao Liu, Zikai Tang
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Second Hyper-Zagreb Index of Titania Nanotubes and Their Applications
IEEE Access, 2021 Topological index is a numerical descriptor of a molecule, based on a certain topological feature of the corresponding molecular graph, it is found that there is a strong correlation between the properties of chemical compounds and their molecular ...
Abdu Alameri
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Chemical significance and degeneracy of weighted degree-based topological descriptor second Davan index for octane isomers and computation of certain nanostructures [PDF]
Scientific ReportsThis study introduces a novel topological descriptor, the second Davan index (SDI) based on weighted degree of molecular graphs. Its chemical significance is validated through QSPR modelling of octane isomers, where it exhibits superior correlation with ...
B. S. Swapna +4 more
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International Journal of Research in Pharmaceutical Sciences, 2022 Graph theory had wide applications in developing in silico tools and it is widely used to calculate topological indices to establish structural activity relations of chemicals/compounds.
Siva Parvathi M. +2 more
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General sum-connectivity index of trees with given number of branching vertices [PDF]
Transactions on Combinatorics, 2023 In 2015, Borovi\'{c}anin presented trees with the smallest first Zagreb index among trees with given number of vertices and number of branching vertices. The first Zagreb index is obtained from the general sum-connectivity index if $a = 1$.
Tomas Vetrik
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Indonesian Journal of Combinatorics, 2020 Dutch windmill graph [1, 2] and denoted by Dnm. Order and size of Dutch windmill graph are (n−1)m+1 and mn respectively. In this paper, we computed certain topological indices and polynomials i.e.
Salma Kanwal +4 more
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