Distinguishing wheel graphs by the alliance polynomial Article

Carballosa, Walter, Rosario, Omar, Sigarreta, José M et al. (2020). Distinguishing wheel graphs by the alliance polynomial .

cited authors

  • Carballosa, Walter; Rosario, Omar; Sigarreta, José M; Torres-Nuñez, Yadira

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.

publication date

  • January 3, 2020

keywords

  • 05C69, 11B83
  • math.CO