Distinguishing wheel graphs by the alliance polynomial
Combinatorics
2020-01-07 v1
Abstract
Distinctive power of the alliance polynomial has been studied in previous works, for instance, it has been proved that the empty, path, cycle, complete, complete without one edge and star graphs are characterized by its alliance polynomial. Moreover, it has been proved that the family of alliance polynomial of regular graphs with small degree is a very special one, since it does not contain alliance polynomial of graphs other than regular graph with the same degree. In this work we prove that the alliance polynomial also determines the wheel graphs.
Cite
@article{arxiv.2001.00990,
title = {Distinguishing wheel graphs by the alliance polynomial},
author = {Walter Carballosa and Omar Rosario and José M. Sigarreta and Yadira Torres-Nuñez},
journal= {arXiv preprint arXiv:2001.00990},
year = {2020}
}
Comments
This work was presented in the 49th Southeastern International Conference on Combinatorics, Graph Theory & Computing (CEICCGTC 2018)