Results 41 to 50 of about 143,498 (274)
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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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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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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On the difference between the Szeged and Wiener index
, 2016 We prove a conjecture of Nadjafi-Arani, Khodashenas and Ashrafi on the difference between the Szeged and Wiener index of a graph. Namely, if $G$ is a 2-connected non-complete graph on $n$ vertices, then $Sz(G)-W(G)\ge 2n-6$.
Bonamy, Marthe +4 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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Post‐COVID Fatigue Is Associated With Reduced Cortical Thickness After Hospitalization
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Neuropsychiatric symptoms are among the most prevalent sequelae of COVID‐19, particularly among hospitalized patients. Recent research has identified volumetric brain changes associated with COVID‐19. However, it currently remains poorly understood how brain changes relate to post‐COVID fatigue and cognitive deficits.
Tim J. Hartung +190 more
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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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Advanced Engineering Materials, EarlyView.Freeze‐drying of layered silicate is the key to get coatings with superior gas barrier. Freeze‐drying of layered silicates modified with dodecylamine (DDA) is a highly effective technique for the preparation of barrier pigments that significantly mitigate the permeation of oxygen, water vapor, and hydrogen through polymer films containing these ...
Joshua Lommes +4 more
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Advanced Engineering Materials, EarlyView.The release of foulers from protective marine coatings is determined by several interrelated material properties, including the strength of Young's modulus, the flexibility of chain segments, the surface free energy, and the magnitude of hydrodynamic stress.
Johann C. Schaal +2 more
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Wiener Polynomials for Multi-Rings Paraffin Structures [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2007 The distance between any two vertices u and v in a connected graph G is defined as the length of the shortest path between them, and it is denoted by d(u,v).The sum of distances for all unordered pairs of distinct vertices in G represents Wiener index ...
Ahmed Ali
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