Results 31 to 40 of about 15,653 (260)
Wiener Index, Hyper-wiener Index, Harary Index and Hamiltonicity of graphs
, 2018 In this paper, we discuss the Hamiltonicity of graphs in terms of Wiener index, hyper-Wiener index and Harary index of their quasi-complement or complement. Firstly, we give some sufficient conditions for an balanced bipartite graph with given the minimum degree to be traceable and Hamiltonian, respectively.
Yu, Guidong, Ren, Lifang, Cai, Gaixiang
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On the Wiener Polarity Index of Lattice Networks. [PDF]
PLoS ONE, 2016 Network structures are everywhere, including but not limited to applications in biological, physical and social sciences, information technology, and optimization. Network robustness is of crucial importance in all such applications.
Lin Chen +4 more
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Degree-weighted Wiener index of a graph
Mathematical Modelling and ControlFrom geometric point of view, we introduced the Sombor-Wiener index of a graph and studied the basic properties of the new index. It was shown that the Sombor-Wiener index was useful in predicting the acentric factor of octane isomers.
Zhen Lin, Ting Zhou
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Journal of Chemistry, 2019 In this paper, with respect to the Wiener index, hyper-Wiener index, and Harary index, it gives some sufficient conditions for some graphs to be traceable, Hamiltonian, Hamilton-connected, or traceable for every vertex.
Guisheng Jiang, Lifang Ren, Guidong Yu
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Steiner Wiener index of Line graphs
Indian Journal of Pure and Applied Mathematics, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
V. A. Rasila, Ambat Vijayakumar
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Karpatsʹkì Matematičnì Publìkacìï, 2019 For a (molecular) graph, the Wiener index, hyper-Wiener index and degree distance index are defined as $$W(G)= \sum_{\{u,v\}\subseteq V(G)}d_G(u,v),$$ $$WW(G)=W(G)+\sum_{\{u,v\}\subseteq V(G)} d_{G}(u,v)^2,$$ and $$DD(G)=\sum_{\{u,v\}\subseteq V(G)}d_G(u,
N. Dehgardi +2 more
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The edge-Wiener index and the edge-hyper-Wiener index of phenylenes [PDF]
Discrete Applied Mathematics, 2019 Besides the well known Wiener index, which sums up the distances between all the pairs of vertices, and the hyper-Wiener index, which includes also the squares of distances, the edge versions of both indices attracted a lot of attention in the recent years.
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FEBS Open Bio, EarlyView.Induction of diabetes in three different mouse strains uniformly resulted in an increase in TNAP activity and a reduction in pyrophosphate (PPi) in the circulation. Inhibition of TNAP restored plasma PPi. Diabetes‐induced calcification in the media layer of the aorta was detected only in the Abcc6−/− strain, which is predisposed to ectopic ...
Krisztina Fülöp +13 more
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The quotients between the (revised) Szeged index and Wiener index of graphs [PDF]
Discrete Mathematics & Theoretical Computer Science, 2017 Let $Sz(G),Sz^*(G)$ and $W(G)$ be the Szeged index, revised Szeged index and Wiener index of a graph $G.$ In this paper, the graphs with the fourth, fifth, sixth and seventh largest Wiener indices among all unicyclic graphs of order $n\geqslant 10$ are ...
Huihui Zhang, Jing Chen, Shuchao Li
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The Wiener index of signed graphs [PDF]
Applied Mathematics and Computation, 2022 The Wiener index of a graph $W(G)$ is a well studied topological index for graphs. An outstanding problem of olt{ }s is to find graphs $G$ such that $W(G)=W(G-v)$ for all vertices $v\in V(G)$, with the only known example being $G=C_{11}$. We relax this problem by defining a notion of Wiener indices for signed graphs, which we denote by $W_ (G ...
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