TUTCRIS - Tampereen teknillinen yliopisto

TUTCRIS

On the zeros of the partial Hosoya polynomial of graphs

Tutkimustuotosvertaisarvioitu

Yksityiskohdat

AlkuperäiskieliEnglanti
Sivut199-215
Sivumäärä17
JulkaisuInformation Sciences
Vuosikerta524
DOI - pysyväislinkit
TilaJulkaistu - 1 heinäkuuta 2020
OKM-julkaisutyyppiA1 Alkuperäisartikkeli

Tiivistelmä

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.