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New Families of tripartite graphs with local antimagic chromatic number 3

Authors :
Lau, Gee-Choon
Shiu, Wai Chee
Publication Year :
2024

Abstract

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.<br />Comment: arXiv admin note: text overlap with arXiv:2408.04942

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2408.06703
Document Type :
Working Paper