On the zeros of the partial Hosoya polynomial of graphs

Tutkimustuotos: Lehtiartikkelivertaisarvioitu

Tutkijat

  • Modjtaba Ghorbani
  • Matthias Dehmer
  • Shujuan Cao
  • Lihua Feng
  • Jin Tao
  • Frank Emmert-Streib

Organisaatiot

  • Shahid Rajaee Teacher Training University
  • Swiss Distance University of Applied Sciences
  • Private University for Health Sciences, Medical Informatics and Technology
  • Nankai University
  • Tianjin Polytechnic University
  • Central South University
  • Peking University
  • Tampere University

Kuvaus

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.

Yksityiskohdat

AlkuperäiskieliEnglanti
Sivut199-215
Sivumäärä17
JulkaisuInformation Sciences
Vuosikerta524
TilaJulkaistu - heinäkuuta 2020
OKM-julkaisutyyppiA1 Julkaistu artikkeli, soviteltu

ID: 42329572