Results 31 to 40 of about 21,361 (171)
The Hosoya polynomial, Wiener index, and Hyper-Wiener index of Jahangir Graph \(J_{8,m}\)
Online Journal of Analytic Combinatorics, 2020 Let \( G(V,E) \) be a simple connected graph with vertex set \( V \) and edge set \( E \). The Wiener index in the graph is \(W(G) = \sum_{\{u,v\} \subseteq V} d(u,v),\) where \( d(u,v) \) is the distance between \( u \) and \( v \), and the Hosoya ...
Ramy S. Shaheen
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Hosoya and Harary Polynomials of Hourglass and Rhombic Benzenoid Systems
Journal of Chemistry, 2020 In the fields of chemical graph theory, topological index is a type of a molecular descriptor that is calculated based on the graph of a chemical compound.
Zhong-Lin Cheng +4 more
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A Method for Computing the Edge-Hyper-Wiener Index of Partial Cubes and an Algorithm for Benzenoid Systems [PDF]
, 2016 The edge-hyper-Wiener index of a connected graph $G$ is defined as $WW_e(G) = \frac{1}{2}\sum_{\lbrace e,f\rbrace \subseteq E(G)}d(e,f) + \frac{1}{2}\sum_{\lbrace e,f\rbrace \subseteq E(G)}d(e,f)^2$.
Niko Tratnik
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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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Eccentricity based topological indices of face centered cubic lattice FCC(n)
Main Group Metal Chemistry, 2021 Chemical graph theory has become a prime gadget for mathematical chemistry due to its wide range of graph theoretical applications for solving molecular problems.
Shaker Hani +2 more
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The hyper edge-Wiener index of corona product of graphs [PDF]
Transactions on Combinatorics, 2015 Let G be a simple connected graph. The edge-Wiener index W e (G) is the sum of all distances between edges in G , whereas the hyper edge-Wiener index WW e (G) is defined as {\footnotesize WW e (G)=12 W e (G)+12 W 2 e (G) }, where {footnotesize W 2 e ...
Abolghasem Soltani, Ali Iranmanesh
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Computing Wiener and Hyper-Wiener Indices of Zero-Divisor Graph of ℤℊ3×ℤI1I2
Journal of Function Spaces, 2022 Let S=ℤℊ3×ℤI1I2 be a commutative ring where ℊ,I1 and I2 are positive prime integers with I1≠I2. The zero-divisor graph assigned to S is an undirected graph, denoted as YS with vertex set V(Y(S)) consisting of all Zero-divisor of the ring S and for any c,
Yonghong Liu +4 more
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The Hyper-Wiener Index of One-pentagonal Carbon Nanocone [PDF]
Current Nanoscience, 2013 One-pentagonal carbon nanocone consists of one pentagon as its core surrounded by layers of hexagons. If there are n layers, then the graph of the molecules is denoted by Gn. In this paper our aim is to explicitly calculate the hyper-Wiener index of Gn.
Khalifeh, M. H. +2 more
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Hosoya, Schultz, and Gutman Polynomials of Generalized Petersen Graphs Pn,1 and Pn,2
Journal of Mathematics, 2023 The graph theory has wide important applications in various other types of sciences. In chemical graph theory, we have many topological polynomials for a graph G through which we can compute many topological indices.
Ramy Shaheen +2 more
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Sufficient Conditions for Wiener Index, Hyper-Wiener Index and Harary Index of the Hamilton Graph
Mathematics and Computer ScienceThe topological index can be used to depict the structural properties of graphs, and the Hamiltonian problem of graphs has always been a classical problem in graph theory.
Jiang-Yi Liu
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