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Wiener index and Steiner 3-Wiener index of graphs
Asian-European Journal of Mathematics, 2021Let [Formula: see text] be a set of vertices of a connected graph [Formula: see text]. The Steiner distance of [Formula: see text] is the minimum size of a connected subgraph of [Formula: see text] containing all the vertices of [Formula: see text].
Kovše, Matjaž +2 more
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Chemical physics letters, 2001
We introduce a modification of the Wiener index. This modified Wiener index has a structural interpretation in terms of the greater weights of outer than inner bonds in a saturated hydrocarbon. Both the Wiener index and its modification together with the molecular polarity index lead to comparable structure-property models.
Nikolić, Sonja +2 more
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We introduce a modification of the Wiener index. This modified Wiener index has a structural interpretation in terms of the greater weights of outer than inner bonds in a saturated hydrocarbon. Both the Wiener index and its modification together with the molecular polarity index lead to comparable structure-property models.
Nikolić, Sonja +2 more
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Wiener Index, Hyper-Wiener Index, Harary Index and Hamiltonicity Properties of graphs
Applied Mathematics-A Journal of Chinese Universities, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yu, Gui-dong +2 more
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Journal of Mathematical Chemistry, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gutman, Ivan +2 more
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gutman, Ivan +2 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 Hexagonal Systems
Acta Applicandae Mathematica, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dobrynin, Andrey A. +3 more
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The Overall Hyper-Wiener Index
Journal of Mathematical Chemistry, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, X. H., Lin, J. J.
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Hyper-Wiener Index vs. Wiener Index. Two Highly Correlated Structure-Descriptors
Monatshefte für Chemie - Chemical Monthly, 2003The Wiener (W) and hyper-Wiener (WW) indices of alkanes are found to be highly correlated. Hence, these two structure-descriptors pertain to the very same structural features of the underlying molecules and one of them may be viewed as superfluous. For alkane isomers with n carbon atoms, WW is bounded from both above and below by linear functions of W.
Ivan Gutman, Boris Furtula
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On Wiener index and Wiener polarity index of some polyomino chains
Journal of Discrete Mathematical Sciences and Cryptography, 2019AbstractA graph invariant is a numerical value that depicts the structural properties of an entire graph.
Sarfraz Ahmad +5 more
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On the Relation between W ‘/W Index, Hyper-Wiener Index, and Wiener Number
Journal of Chemical Information and Computer Sciences, 1999It is shown analytically that the W'/W index, the hyper-Wiener index, and the Wiener number are closely related graph-theoretical invariants for acyclic structures. A general analytical expression for the hyper-Wiener index of a tree is derived too.
Lerš, Nella +2 more
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