A New Polynomial for Checkerboard-Colorable 4-Valent Virtual Graphs
Combinatorics
2025-11-10 v3 Geometric Topology
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.
Keywords
Cite
@article{arxiv.2410.15574,
title = {A New Polynomial for Checkerboard-Colorable 4-Valent Virtual Graphs},
author = {Hamid Abchir and Khaled Qazaqzeh and Mohammed Sabak},
journal= {arXiv preprint arXiv:2410.15574},
year = {2025}
}
Comments
20 pages, 15 figures, 4 tables