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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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Relation between hyper-Wiener and Wiener index
Chemical Physics Letters, 2002Abstract An identity between the hyper-Wiener index ( WW ) and the Wiener index ( W ) of a tree is deduced, showing that these two molecular-structure-descriptors are more intimately connected than earlier believed. Let T be a tree on n vertices and e be its edge.
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Hyper Wiener Index of C4C8(S) Nanotubes
Current Nanoscience, 2010The hyper Wiener index of a molecular graph is defined as one half of the sum of the distances and square distances between all (unordered) pairs of vertices of the graph. In this paper we find an exact formula for calculation of the hyper Wiener index of nanotubes which have square and octagon structure and denoted by C4C8(S) nanotubes.
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HYPER WIENER INDEX OF SPECIAL HARMONIC GRAPHS
Graph theory is a captivating branch of Discrete Mathematics, offering numerous proof techniques and applications across various scientific fields. It is both theoretically rich and practically significant. In graph theory, if every vertex in a graph GGG has the same average degree, the graph is called a Pseudo-regular graph. This implies uniformity inS. Kavithaa +3 more
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The maximum hyper-Wiener index of cacti
, 2015Dong-Fang Wang, Shang-wang Tan
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Trees with Extremal Hyper-Wiener Index: Mathematical Basis and Chemical Applications
Journal of chemical information and computer sciences, 1997I. Gutman +3 more
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Molecular topology. 25. Hyper-Wiener index of dendrimers
Journal of Chemical Information and Computer Sciences, 1995Mircea V. Diudea, Bazil Pârv
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Zagreb, Harary and hyper-Wiener indices of graphs with a given matching number
Applied Mathematics Letters, 2010Lihua Feng, Aleksandar Ilic
exaly
On the Steiner hyper-Wiener index of a graph
Applied Mathematics and Computation, 2018Niko Tratnik
exaly
Hyper- and reverse-Wiener indices of F-sums of graphs
Discrete Applied Mathematics, 2010Metrose Metsidik, Fang Duan
exaly