Local Antimagic Chromatic Number of Middle Graph and Direct Product of Graphs

Huimin Xu, Gee-Choon Lau, Ruixue Zhang

An edge labeling of a connected graph $G=(V,E)$ is called a local antimagic labeling if it is a bijection $f:E\to \{1,2,\cdots ,\left|E\right|\}$ such that for any…