New Families of tripartite graphs with local antimagic chromatic number 3
| Autor: | Lau, Gee-Choon, Shiu, Wai Chee |
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| Rok vydání: | 2024 |
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| Druh dokumentu: | Working Paper |
| Popis: | For a graph $G(V,E)$ of size $q$, a bijection $f : E(G) \to [1,q]$ is a local antimagc labeling if it induces a vertex labeling $f^+ : V(G) \to \mathbb{N}$ such that $f^+(u) \ne f^+(v)$, where $f^+(u)$ is the sum of all the incident edge label(s) of $u$, for every edge $uv \in E(G)$. In this paper, we make use of matrices of fixed sizes to construct several families of infinitely many tripartite graphs with local antimagic chromatic number 3. Comment: arXiv admin note: text overlap with arXiv:2408.04942 |
| Databáze: | arXiv |
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