Interlace polynomials of friendship graphs

Abstract

In this paper, we study the interlace polynomials of friendship graphs, that is, graphs that satisfy the Friendship Theorem given by Erdös, Rényi and Sos. Explicit formulas, special values and behavior of coefficients of these polynomials are provided. We also give the interlace polynomials of other similar graphs, such as, the butterfly graph.

Keywords

• graph polynomial, interlace polynomial, friendship graph, butterfly graph