On the inverse degree polynomial Articles uri icon

publication date

  • December 2019

start page

  • 1

end page

  • 13

issue

  • 12 (1490)

volume

  • 11

International Standard Serial Number (ISSN)

  • 2073-8994

abstract

  • Using the symmetry property of the inverse degree index, in this paper, we obtain several mathematical relations of the inverse degree polynomial, and we show that some properties of graphs, such as the cardinality of the set of vertices and edges, or the cyclomatic number, can be deduced from their inverse degree polynomials.

keywords

  • inverse degree index; inverse degree polynomial; polynomials; topological indices