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arXiv · 2410.15574

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

Hamid Abchir·Khaled Qazaqzeh·Mohammed Sabak
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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.

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Hamid Abchir, Khaled Qazaqzeh, Mohammed Sabak. 2025-11-07. A New Polynomial for Checkerboard-Colorable 4-Valent Virtual Graphs. https://doi.org/10.1007/s00373-025-02928-3

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