Paper title:

λ-Modified Extremal Hyper-Wiener Index of Molecular Graphs

Published in: Issue 3, (Vol. 8) / 2014
Publishing date: 2014-10-30
Pages: 43-46
Author(s): XI Wenfei , GAO Wei
Abstract. In this paper, we raise a new concept λ-modified Hyper-Wiener index to measure the topological structure of molecular graphs. We consider the relationship between λ-modified Hyper-Wiener index and some special parameters of molecular graph, and present the molecular graphs which minimize the λ-modified Hyper-Wiener index with λ>0 among all molecular graphs with given chromatic number and clique number and the molecular graphs which maximum the λ-modified Hyper-Wiener index among all molecular graphs with given clique number.
Keywords: Chemical Graph Theory, Organic Molecules, Hyper-Wiener Index, λ-modified Hyper-Wiener Index, Chromatic Number, Clique Number.
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