Results 31 to 40 of about 4,394,235 (151)
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 Qaid Alameri
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The Zagreb Index of Several Random Models
Journal of Stochastic Analysis, 2022 In this article, we investigate the Zagreb index, a kind of graph-based topological index, of several random networks, including a class of networks extended from random recursive trees, plain-oriented recursive trees, and random caterpillars growing in a preferential attachment manner.
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Some Upper Bounds on the First General Zagreb Index
Journal of mathematics, 2022 The first general Zagreb index Mγ(G) or zeroth‐order general Randić index of a graph G is defined as Mγ(G) = ∑v∈Vd(v)γ where γ is any nonzero real number, d(v) is the degree of the vertex v and γ = 2 gives the classical first Zagreb index.
M. Jamil +3 more
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Assessing Graph Robustness through Modified Zagreb Index
Axioms, 2022 Graph robustness or network robustness is the ability that a graph or a network preserves its connectivity or other properties after the loss of vertices and edges, which has been a central problem in the research of complex networks.
R. Chen, Jianping Li, Weihua He
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The hyper-Zagreb index of cacti with perfect matchings [PDF]
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 bounds of the hyper-Zagreb index of cacti among and characterize the corresponding extremal cacti.
Hechao Liu, Zikai Tang
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Fixed-Order Chemical Trees with Given Segments and Their Maximum Multiplicative Sum Zagreb Index
MathematicsTopological indices are often used to predict the physicochemical properties of molecules. The multiplicative sum Zagreb index is one of the multiplicative versions of the Zagreb indices, which belong to the class of most-examined topological indices ...
Akbar Ali +4 more
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The Hyper-Zagreb Index of Trees and Unicyclic Graphs
Iranian Journal of Mathematical Sciences and Informatics, 2023 Applications in chemistry motivated mathematicians to define different topological indices for different types of graphs. The Hyper-Zagreb index (HM) is an important tool as it integrates the first and the second Zagreb indices. In this paper, we characterize the trees and unicyclic graphs with the first four and first eight greatest HM-value ...
Rezapour, Hassan +2 more
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AIMS MathematicsA connected acyclic graph in which the degree of every vertex is at most four is called a molecular tree. A number associated with a molecular tree that can help to approximate the physical or chemical properties of the corresponding molecule is called a
Shabana Anwar +4 more
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Maximal first Zagreb index of trees with given Roman domination number
AIMS Mathematics, 2022 The first Zagreb index of graphs is defined to be the sum of squares of degrees of all the vertices of graphs. It drew a great deal of attention in the past half-century.
Z. Du +3 more
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On the Trees With Maximal Augmented Zagreb Index
IEEE Access, 2018 The augmented Zagreb index (AZI), a variant of the well-known atom-bond connectivity (ABC) index, was shown to have the best predicting ability for a variety of physicochemical properties among several tested vertex-degree-based topological indices.
Wenshui Lin +4 more
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