Results 1 to 10 of about 143,498 (274)
Generalizations of Wiener Polarity Index and Terminal Wiener Index [PDF]
Graphs and Combinatorics, 2012 In theoretical chemistry, distance-based molecular structure descriptors are used for modeling physical, pharmacologic, biological and other properties of chemical compounds. We introduce a generalized Wiener polarity index $W_k (G)$ as the number of unordered pairs of vertices ${u, v}$ of $G$ such that the shortest distance $d (u, v)$ between $u$ and $
Ilić, Aleksandar, Ilić, Milovan
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On Wiener Polarity Index and Wiener Index of Certain Triangular Networks
Journal of Chemistry, 2021 A topological index of graph G is a numerical quantity which describes its topology. If it is applied to the molecular structure of chemical compounds, it reflects the theoretical properties of the chemical compounds. A number of topological indices have
Mr. Adnan +2 more
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Upgrading the Wiener index [PDF]
Journal of the Serbian Chemical Society, 2002 The Wiener index Wis the oldest molecular-graph-based structure-descriptor. It is defined as the sum of the distances of all pairs of vertices of the molecular graph G, where the distance is the number of edges in the shortest path connecting the ...
Castro Eduardo A. +3 more
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Note of the hyper-Wiener index [PDF]
Journal of the Serbian Chemical Society, 2003 The hyper-Wiener index WW of a chemical tree T is defined as the sum of the products n1n2, over all pairs υ,ν of vertices of T, where n1 and n2 are the number of vertices of T, lying on the two sides of the path which connects υ and ν.
Gutman Ivan +2 more
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Peripheral Wiener index of a graph
Communications in Combinatorics and Optimization, 2017 The {\em eccentricity} of a vertex $v$ is the maximum distance between $v$ and any other vertex. A vertex with maximum eccentricity is called a peripheral vertex.
K.P. Narayankar, S.B. Lokesh
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Five results on maximizing topological indices in graphs [PDF]
Discrete Mathematics & Theoretical Computer Science, 2021 In this paper, we prove a collection of results on graphical indices. We determine the extremal graphs attaining the maximal generalized Wiener index (e.g. the hyper-Wiener index) among all graphs with given matching number or independence number.
Stijn Cambie
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Wiener Index of Some Brooms [PDF]
Computer Science Journal of Moldova, 2022 In the field of chemical graph theory, a Wiener (topological) index is a type of a molecular descriptor that is calculated based on the molecular graph of alkanes.
Julian D. Allagan
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Wiener Index Calculation on the Benzenoid System: A Review Article
Jurnal Matematika Integratif, 2023 The Weiner index is considered one of the basic descriptors of fixed interconnection networks because it provides the average distance between any two nodes of the network.
Dwindi Agryanti Johar +2 more
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Wiener index and applications in the Neutrosophic graphs [PDF]
Neutrosophic Sets and Systems, 2021 In this article, we have examined the Wiener index in neutrosophic graphs. Wiener index is one of the most important topological indices. This index is a distance-based index that is calculated based on the geodesic distance between two vertices.
Masoud Ghods, Zahra Rostami
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Remarks on Wiener Index of Bipolar Fuzzy Incidence Graphs
Frontiers in Physics, 2021 Fuzzy data plays an important role in daily life, and fuzzy structured data is usually represented by fuzzy graphs, where the graph structure is used to describe the associated structure of the fuzzy data.
Shu Gong, Shu Gong, Gang Hua
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