On local antimagic chromatic number of the join of two special families of graphs -- II
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866912083322339328 |
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| author | Lau, Gee-Choon Shiu, Wai Chee |
| author_facet | Lau, Gee-Choon Shiu, Wai Chee |
| contents | It is known that null graphs and 1-regular graphs are the only regular graphs without local antimagic chromatic number. In this paper, we proved that the join of 1-regular graph and a null graph has local antimagic chromatic number is 3. Consequently, we also obtained many families of (possibly disconnected or regular) bipartite and tripartite graph with local antimagic chromatic number 3. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_17674 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On local antimagic chromatic number of the join of two special families of graphs -- II Lau, Gee-Choon Shiu, Wai Chee Combinatorics 05C78, 05C69 It is known that null graphs and 1-regular graphs are the only regular graphs without local antimagic chromatic number. In this paper, we proved that the join of 1-regular graph and a null graph has local antimagic chromatic number is 3. Consequently, we also obtained many families of (possibly disconnected or regular) bipartite and tripartite graph with local antimagic chromatic number 3. |
| title | On local antimagic chromatic number of the join of two special families of graphs -- II |
| topic | Combinatorics 05C78, 05C69 |
| url | https://arxiv.org/abs/2410.17674 |