Nowhere-zero 5-flow on signed ladders
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866911188935245824 |
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| author | Parsaei-Majd, Leila |
| author_facet | Parsaei-Majd, Leila |
| contents | In 1983, Bouchet conjectured that every flow-admissible signed graph admits a nowhere-zero $6$-flow. In this paper, we prove that Bouchet's conjecture holds for all signed ladders, circular and Möbius ladders. In fact, all signed ladders, circular and Möbius ladders admit a nowhere-zero $5$-flow except for one case of signed circular ladders. Of course, the exception also has a nowhere-zero $6$-flow. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_01716 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Nowhere-zero 5-flow on signed ladders Parsaei-Majd, Leila Combinatorics In 1983, Bouchet conjectured that every flow-admissible signed graph admits a nowhere-zero $6$-flow. In this paper, we prove that Bouchet's conjecture holds for all signed ladders, circular and Möbius ladders. In fact, all signed ladders, circular and Möbius ladders admit a nowhere-zero $5$-flow except for one case of signed circular ladders. Of course, the exception also has a nowhere-zero $6$-flow. |
| title | Nowhere-zero 5-flow on signed ladders |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2510.01716 |