A New Polynomial for Checkerboard-Colorable 4-Valent Virtual Graphs
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866908634673315840 |
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| author | Abchir, Hamid Qazaqzeh, Khaled Sabak, Mohammed |
| author_facet | Abchir, Hamid Qazaqzeh, Khaled Sabak, Mohammed |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_15574 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A New Polynomial for Checkerboard-Colorable 4-Valent Virtual Graphs Abchir, Hamid Qazaqzeh, Khaled Sabak, Mohammed Combinatorics Geometric Topology 05C31, 57K14 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. |
| title | A New Polynomial for Checkerboard-Colorable 4-Valent Virtual Graphs |
| topic | Combinatorics Geometric Topology 05C31, 57K14 |
| url | https://arxiv.org/abs/2410.15574 |