On the Interlace Polynomials of Forests

Document Type

Article

Publication Date

1-6-2010

Journal / Book Title

Discrete Mathematics

Abstract

The interlace polynomials were introduced by Arratia, Bollobás and Sorkin (2004) [3-5]. These invariants generalize to arbitrary graphs some special properties of the Euler circuits of 2-in, 2-out digraphs. Among many other results, Arratia, Bollobás and Sorkin (2004) [3-5] give explicit formulas for the interlace polynomials of certain types of graphs, including paths; it is natural to wonder whether or not it is possible to extend these formulas to larger classes of graphs. We give a combinatorial description of the interlace polynomials of trees and forests.

Comments

This article is Open Access under an Elsevier User License.

DOI

10.1016/j.disc.2009.07.027

Published Citation

Anderson, C., Cutler, J., Radcliffe, A. J., & Traldi, L. (2010). On the interlace polynomials of forests. Discrete Mathematics, 310(1), 31-36.

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