Results 41 to 50 of about 4,394,235 (151)
Nano-Zagreb Index and Multiplicative Nano-Zagreb Index of Some Graph Operations
International Journal of Computing Science and Applied Mathematics, 2019 Let G be a graph with vertex set V(G) and edge set E(G). The Nano-Zagreb and multiplicative Nano-Zagreb indices of G are NZ(G) = \prod_{uv \in E(G)} (d^2(u) - d^2(v)) and N*Z(G) = \prod_{uv \in E(G)} (d^2(u) - d^2(v)), respectively, where d(v) is the degree of the vertex v.
Akbar Jahanbani, Hajar Shooshtary
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The general Zagreb index of lattice networks
CoRR, 2019 A topological index is a real number which is derived from a network or a graph by mathematically that characterizes the whole of its structural properties. Recently, there are various topological indices that have been introduced in mathematical chemistry to predict the properties of molecular topology. Among, the degree based topological indices such
Prosanta Sarkar, Nilanjan De, Anita Pal
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Erratum to "Complete Characterization of Trees with Maximal Augmented Zagreb Index"
Match-communications in Mathematical and in Computer Chemistry, 2021 The augmented Zagreb index (AZI) has attracted more and more attentions in the past years. Some significant mathematical properties of AZI were obtained. In particular, Lin et al. [MATCH Commun. Math. Comput. Chem.
Xiao Xiao, Xiuliang Qiu, Wenshui Lin
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The first entire Zagreb index of various corona products and their bounds
Journal of Mathematics and Computer Science, 2021 The First Entire Zagreb Index (FEZI) of a (molecular) graph was introduced by Alwardi et al. [2] as the sum of the squares of degree of all the vertices and edges of the given graph.
Durbar Maji, G. Ghorai
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Generalized Zagreb index of product graphs
Transactions on Combinatorics, 2019 Summary: The generalized Zagreb index is an extension of both ordinary and variable Zagreb indices. In this paper, we present exact formulae for the values of the generalized Zagreb index for product graphs. Results are applied to some graphs of general and chemical interest such as nanotubes and nanotori.
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Cactus Graphs with Maximal Multiplicative Sum Zagreb Index
Symmetry, 2021 A connected graph G is said to be a cactus if any two cycles have at most one vertex in common. The multiplicative sum Zagreb index of a graph G is the product of the sum of the degrees of adjacent vertices in G. In this paper, we introduce several graph
Chunlei Xu +2 more
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Probabilistic analysis of the First Zagreb index
Transactions on Combinatorics, 2013 In this paper we study the Zagreb index in bucket recursive trees containing buckets with variable capacities. This model was introduced by Kazemi in 2012. Weobtain the mean and variance of the Zagreb index andintroduce a martingale based on this quantity.
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Kragujevac Journal of MathematicsA tournament is an orientation of a complete simple graph. The score of a vertex in a tournament is the out degree of the vertex. The Zagreb index of a tournament is deļ¬ned as the sum of the squares of the scores of its vertices. In this paper, we obtain various lower and upper bounds for the Zagreb index of a tournament.
TARIQ AHMAD NAIKOO +3 more
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On Zagreb coindices and Mostar index of $$TiO_2$$ nanotubes
Scientific Reports, 2023 Abstract Topological indices are valuable tools in predicting properties of chemical compounds. This study focuses on degree-based topological indices, which have shown strong correlations with various physico-chemical properties such as boiling points and strain energy.
Muhammad Imran +4 more
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On Multiple Zagreb Indices of TiO2 Nanotubes
Acta Chimica Slovenica, 2015 The First and Second Zagreb indices were first introduced by I. Gutman and N. Trinajstic in 1972. It is reported that these indices are useful in the study of anti-inflammatory activities of certain chemical instances, and in elsewhere. Recently, the first and second multiple Zagreb indices of a graph were introduced by Ghorbani and Azimi in 2012.
Imran, Muhammad, Malik, Mehar Ali
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