Improved bounds for anti-Ramsey numbers of matchings in outerplanar graphs

Yifan Pei, Yongxin Lan, Hua He

Let ${\mathcal{O}}_n$ be the set of all maximal outerplanar graphs of order $n$. Let $ar({\mathcal{O}}_n,F)$ denote the maximum positive integer $k$ such that $T\in {\mathcal{O}}_n$ has…