Necessary and sufficient conditions of a class of bipartite graphs with local antimagic chromatic number 2 - an algebraic approach

Gee-Choon Lau, Wai Chee Shiu

For a connected graph $G=(V,E)$, a bijective edge labeling $f:E\to \{1,\dots ,|E|\}$ is a local antimagic labeling of $G$ if it induces a vertex labeling $f^{+}$ such that for an…