On the zeros of the partial Hosoya polynomial of graphs
Research output: Contribution to journal › Article › Scientific › peer-review
|Number of pages||17|
|Publication status||Published - 1 Jul 2020|
|Publication type||A1 Journal article-refereed|
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 . Also, we determine the unique positive root of this polynomial for particular graphs.
ASJC Scopus subject areas
- Cut-vertex, Distance, Hosoya polynomial, Polynomial roots