On the Interlace Polynomials of Forests
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.
MSU Digital Commons Citation
Anderson, C.; Cutler, Jonathan; Radcliffe, A. J.; and Traldi, L., "On the Interlace Polynomials of Forests" (2010). Department of Mathematics Facuty Scholarship and Creative Works. 124.