paper

A New Polynomial for Checkerboard-Colorable 4-Valent Virtual Graphs

arXiv:2410.15574 · doi:10.1007/s00373-025-02928-3

Abstract

We assign a new polynomial to any checkerboard-colorable 4-valent virtual graph in terms of its Euler circuit expansion. This provides a new combinatorial formulation of the Kauffman-Jones polynomial for checkerboard-colorable virtual links.

20 pages, 15 figures, 4 tables

A New Polynomial for Checkerboard-Colorable 4-Valent Virtual Graphs · wovepaper