Results 11 to 20 of about 3,737,056 (274)
Extension of the Wiener index and Wiener polynomial [PDF]
Applied Mathematics Letters, 2008 The Wiener index W(G) of a connected graph G is defined as the sum of distances between all pairs of vertices. The Wiener polynomial H(G,x) has the property that its first derivative evaluated at x=1 equals the Wiener index, i.e. H′(G,1)=W(G).
Eliasi, Mehdi, Taeri, Bijan
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On the Wiener index and the hyper-Wiener index of the Kragujevac trees
Proyecciones (Antofagasta), 2023 In this paper, the Wiener index and the hyper-Wiener index of the Kragujevac trees is computed in term of its vertex degrees. As application, we obtain an upper bond and a lower bound for the Wiener index and the hyper-Wiener index of these ...
Heydari, Abbas
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On the Wiener Complexity and the Wiener Index of Fullerene Graphs [PDF]
Mathematics, 2019 Fullerenes are molecules that can be presented in the form of cage-like polyhedra, consisting only of carbon atoms. Fullerene graphs are mathematical models of fullerene molecules.
Andrey A. Dobrynin, Andrei Yu Vesnin
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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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The Steiner Wiener Index of A Graph
Discussiones Mathematicae Graph Theory, 2016 The Wiener index W(G) of a connected graph G, introduced by Wiener in 1947, is defined as W(G) = ∑u,v∈V(G) d(u, v) where dG(u, v) is the distance between vertices u and v of G. The Steiner distance in a graph, introduced by Chartrand et al. in 1989, is a
Li Xueliang, Mao Yaping, Gutman Ivan
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A brief historical perspective of the Wiener-Hopf technique [PDF]
, 2007 It is a little over 75 years since two of the most important mathematicians of the 20th century collaborated on finding the exact solution of a particular equation with semi-infinite convolution type integral operator.
Lawrie, JB, Abrahams, ID
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GTI-space : the space of generalized topological indices [PDF]
, 2008 A new extension of the generalized topological indices (GTI) approach is carried out torepresent 'simple' and 'composite' topological indices (TIs) in an unified way.
Matamala, Adelio R. +2 more
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A Note on The Weighted Wiener Index and The Weighted Quasi-Wiener Index
, 2017 In this study, we consider the weighted Wiener index and the weighted quasi-Wiener index of simple connected weighted graphs and we find some bounds for the weighted Wiener index and the weighted quasi-Wiener index of the weighted graphs.
Mutlu, Nursah +2 more
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Equiseparability on Terminal Wiener Index [PDF]
Applied Mathematics Letters, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xiaotie Deng, Jie Zhang 0008
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Algorithms for Computing Wiener Indices of Acyclic and Unicyclic Graphs
Complexity, 2021 Let G=VG,EG be a molecular graph, where VG and EG are the sets of vertices (atoms) and edges (bonds). A topological index of a molecular graph is a numerical quantity which helps to predict the chemical/physical properties of the molecules.
Bo Bi +5 more
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