Results 1 to 10 of about 4,100,336 (288)
AKCE International Journal of Graphs and Combinatorics, 2017 The general sum-connectivity index, general product-connectivity index, general Zagreb index and coindices of line graphs of subdivision graphs of tadpole graphs, wheels and ladders have been reported in the literature.
Harishchandra S. Ramane +2 more
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The connectivity and the Harary index of a graph
Discrete Applied Mathematics, 2015 The Harary index of a graph is defined as the sum of reciprocals of distances between all pairs of vertices of the graph. In this paper we provide an upper bound of the Harary index in terms of the vertex or edge connectivity of a graph. We characterize the unique graph with maximum Harary index among all graphs with given number of cut vertices or ...
Yi-Zheng Fan
exaly +5 more sources
On the eccentric connectivity index of a graph
Discrete Mathematics, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
S Mukwembi
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Atom–bond connectivity index of trees
Discrete Applied Mathematics, 2009 The recently introduced atom-bond connectivity (ABC) index has been applied up to now to study the stability of alkanes and the strain energy of cycloalkanes. Here, mathematical properties of the ABC index of trees are studied. Chemical trees with the extremal ABC values are found. In addition, it has been proven that among all trees, the star tree, Sn,
Boris Furtula +2 more
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On Eccentric Connectivity Index of TiO2 Nanotubes
Acta Chimica Slovenica, 2016 The eccentric connectivity index (ECI) is a distance based molecular structure descriptor that was recently used for mathematical modeling of biological activities of diverse nature.
Imran Nadeem, Hani Shaker
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Comparison between the Szeged index and the eccentric connectivity index
Discrete Applied Mathematics, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kinkar Chandra Das
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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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Choosing the exponent in the definition of the connectivity index [PDF]
Journal of the Serbian Chemical Society, 2001 Let δv denote the degree of the vertex v of a molecular graph G. Then the connectivity index of G is defined as C (λ) = G (λ,C) = Σ (δuδv)λ, where the summation goes over all pairs of adjacent vertices.
Gutman Ivan, Lepović Mirko
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The Q-index and Connectivity of Graphs
Journal of the Operations Research Society of China, 2022 A connected graph $G$ is said to be $k$-connected if it has more than $k$ vertices and remains connected whenever fewer than $k$ vertices are deleted. In this paper, for a connected graph $G$ with sufficiently large order, we present a tight sufficient condition for $G$ with fixed minimum degree to be $k$-connected based on the $Q$-index.
Peng-Li Zhang +3 more
openaire +2 more sources
Two theorems on connectivity indices [PDF]
Journal of the Serbian Chemical Society, 2002 Two general cases are pointed out for which the ordering of molecules according to the connectivity index C(l) is the same for all values of the exponent l.
IVAN GUTMAN
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