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The Multiplicative Version of the Wiener Index
Journal of Chemical Information and Computer Sciences, 1999The classical Wiener index, W(G), is equal to the sum of the distances between all pairs of vertexes of a (molecular) graph, G. We now consider a related topological index, pi(G), equal to the product of distances between all pairs of vertexes of G.
Ivan Gutman +3 more
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From Wiener Index to Molecules
Journal of Chemical Information and Modeling, 2005In this paper we present an algorithm for the generation of molecular graphs with a given value of the Wiener index. The high number of graphs for a given value of the Wiener index is reduced thanks to the application of a set of heuristics taking into account the structural characteristics of the molecules.
Gonzalo Cerruela García +4 more
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Wiener index of sum of shadowgraphs
Discrete Mathematics, Algorithms and Applications, 2022The Wiener index of a graph [Formula: see text], denoted by [Formula: see text], is defined as [Formula: see text] where the sum is taken through all unordered pairs of vertices of [Formula: see text] and [Formula: see text] is distance between two vertices [Formula: see text] and [Formula: see text] of [Formula: see text]. Let [Formula: see text] and
Shanu Goyal +2 more
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On Wiener and terminal Wiener index of graphs
International Journal of Biomathematics, 2015The Wiener index is a topological index defined as the sum of distances between all pairs of vertices in a graph. It was introduced as a structural descriptor for molecular graphs of alkanes, which are trees with vertex degrees of four at the most. The terminal Wiener index is defined as the sum of distances between all pairs of pendent vertices in a ...
Babujee, J. Baskar, Senbagamalar, J.
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Modification of the Wiener Index. 2
Journal of Chemical Information and Computer Sciences, 2003A novel topological index based on the Wiener Index is proposed as W = 1/2, summation(n/ij)=S*(ij) the element S*(ij) of the distance matrix is defined either as S*(ij)= square root (E(i)E(j)/R(ij) (atoms i and j are adjacent) or as S*(ij)=(j-i+1)square root (E(i)...xE /R(ij) (atoms i and j are not adjacent), where E(i) and E(j) represent the total ...
Feng Yang +3 more
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Wiener polarity index of dendrimers
Applied Mathematics and Computation, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guoliang Liu, Guodong Liu
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On the Wiener polarity index of graphs
Applied Mathematics and Computation, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hongbo Hua, Kinkar Chandra Das
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Modification of the Wiener index 4
Journal of Computational Chemistry, 2004AbstractA novel topological index WF is defined by the matrices X, W, and L as WF = XWL. Where L is a column vector expressing the characteristic of vertices in the molecule; X is a row vector expressing the bonding characteristics between adjacent atoms; W is a reciprocal distance matrix.
Feng Yang +2 more
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Leapfrog fullerenes and Wiener index
Applied Mathematics and Computation, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vesna Andova +2 more
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Bond Contributions to the Wiener Index
Journal of Chemical Information and Computer Sciences, 1995The Wiener index W(G) of a (molecular) graph G with vertex set V(G) = { 1, ..., n } is defined as the sum of distances between all pairs of distinct vertices i j , 1 I i < j I n.1-3 The original motivation to consider this quantity was an observation by Wiener’ that boiling points of paraffins correlate very strongly with this quantity.
Martin Juvan, Bojan Mohar
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