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On the zeros of the partial Hosoya polynomial of graphs

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Details

Original languageEnglish
Pages (from-to)199-215
Number of pages17
JournalInformation Sciences
Volume524
DOIs
Publication statusPublished - 1 Jul 2020
Publication typeA1 Journal article-refereed

Abstract

The partial Hosoya polynomial (or briefly the partial H-polynomial) can be used to construct the well-known Hosoya polynomial. The ith coefficient of this polynomial, defined for an arbitrary vertex u of a graph G, is the number of vertices at distance i from u. The aim of this paper is to determine the partial H-polynomial of several well-known graphs and, then, to investigate the location of their zeros. To pursue, we characterize the structure of graphs with the minimum and the maximum modulus of the zeros of partial H-polynomial. Finally, we define another graph polynomial of the partial H-polynomial, see [9]. Also, we determine the unique positive root of this polynomial for particular graphs.

Keywords

  • Cut-vertex, Distance, Hosoya polynomial, Polynomial roots

Publication forum classification

Field of science, Statistics Finland