Every Graph Is Local Antimagic Total And Its Applications To Local Antimagic (Total) Chromatic Numbers

Gee-Choon Lau

A graph $G=(V,E)$ of order $p$ and size $q$ is said to be local antimagic if there exists a bijection $g:E(G)\to \{1,2,\dots ,q\}$ such that for any pair of adjacent vertices $…