The interlace polynomial of binary delta-matroids and link invariants

2020/02/27 by Kodaneva, Nadezhda
#Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.2002.12440

Abstract

In this work, we study the interlace polynomial as a generalization of a graph invariant to delta-matroids. We prove that the interlace polynomial satisfies the four-term relation for delta-matroids and determines thus a finite type invariant of links in the 3-sphere.

Related

• The Interlace Polynomial
• Transition polynomial as a weight system for binary delta-matroids
• An extension of Stanley's chromatic symmetric function to binary\n delta-matroids
• Interlacement and Activities in Delta-Matroids
• Delta-matroids and Vassiliev invariants