Results 21 to 30 of about 1,075 (167)
Topological Indices of Graphs from Vector Spaces
Mathematics, 2023 Topological indices are numbers that are applied to a graph and can be used to describe specific graph properties through algebraic structures. Algebraic graph theory is a helpful tool in a range of chemistry domains.
Krishnamoorthy Mageshwaran +3 more
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Hosoya Polynomials Of Some Semiconducotors
Journal of Kufa for Mathematics and Computer, 2014 The Hosoya polynomial of a graph G is a graphical invariant polynomial that its first derivative at x = 1 is equal to the Wiener index and second derivative at x =1 is equal to the hyperï€Wiener index.
Azeez Lafta Jabir +2 more
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The Hyper-Wiener Index of Trees of Order n with Diameter d
Discrete Dynamics in Nature and Society, 2016 The hyper-Wiener index is a kind of extension of the Wiener index, used for predicting physicochemical properties of organic compounds. The hyper-Wiener index WW(G) is defined as WW(G)=1/2∑u,v∈VGdGu,v+dG2u,v with the summation going over all pairs of ...
Gaixiang Cai +4 more
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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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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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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018 Similarly to Wiener index, hyper-Wiener index of a connected graph is a widely applied topological index measuring the compactness of the structure described by the given graph. Hyper-Wiener index is the sum of the distances plus the squares of distances
Mujahed Hamzeh, Nagy Benedek
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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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