Results 11 to 20 of about 4,554,566 (196)
On the first Zagreb index and multiplicative Zagreb coindices of graphs [PDF]
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 For a (molecular) graph G with vertex set V (G) and edge set E(G), the first Zagreb index of G is defined as , where dG(vi) is the degree of vertex vi in G. Recently Xu et al. introduced two graphical invariants and named as first multiplicative Zagreb
Das Kinkar Ch. +5 more
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Nano-Zagreb Index and Multiplicative Nano-Zagreb Index of Some Graph Operations [PDF]
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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Bounds for the augmented Zagreb index [PDF]
Theory and Applications of Graphs, 2023 Summary: The augmented Zagreb index (AZI for short) of a graph \(G\), introduced by \textit{B. Furtula} et al. [J. Math. Chem. 48, No. 2, 370--380 (2010; Zbl 1196.92050)] is defined as AZI\((G)=\sum_{v_iv_j\in E(G)}\left(\frac{d(v_i)d(v_j)}{d(v_i)+d(v_j)-2}\right)^3\), where \(E(G)\) is the edge set of \(G\), and \(d(v_i)\) denotes the degree of the ...
qingcuo, Ren +3 more
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On hyper-Zagreb index conditions for hamiltonicity of graphs [PDF]
Czechoslovak Mathematical Journal, 2022 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lu, Yong, Zhou, Qiannan
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On hyper-Zagreb index and coindex [PDF]
, 2017 Bulletin t. 150 de l'Académie serbe des sciences et des arts. Classe des sciences mathématiques et naturelles. Sciences mathematiques no 42.
Gutman, Ivan
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Generalized Zagreb index of product graphs [PDF]
Transactions on Combinatorics, 2019 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.
Mahdieh Azari
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On the Zagreb Index of Random Recursive Trees [PDF]
Journal of Applied Probability, 2011 We investigate the Zagreb index, one of the topological indices, of random recursive trees in this paper. Through a recurrence equation, the first two moments of Zn, the Zagreb index of a random recursive tree of size n, are obtained. We also show that the random process {Zn − E[Zn], n ≥ 1} is a martingale.
Feng, Qunqiang, Hu, Zhishui
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Sharp Bounds of the Hyper-Zagreb Index on Acyclic, Unicylic, and Bicyclic Graphs [PDF]
Discrete Dynamics in Nature and Society, 2017 The hyper-Zagreb index is an important branch in the Zagreb indices family, which is defined as ∑uv∈E(G)(d(u)+d(v))2, where d(v) is the degree of the vertex v in a graph G=(V(G),E(G)). In this paper, the monotonicity of the hyper-Zagreb index under some
Wei Gao +5 more
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On neighborhood Zagreb index of product graphs. [PDF]
J Mol Struct, 2021 There is powerful relation between the chemical behaviour of chemical compounds and their molecular structures. Topological indices defined on these chemical molecular structures are capable to predict physical properties, chemical reactivity and biological activity.
Mondal S, De N, Pal A.
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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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