On a conjecture for the signless Laplacian spectral radius of cacti with given matching number

Yun Shen, Lihua You, Minjie Zhang +1

A connected graph $G$ is a cactus if any two of its cycles have at most one common vertex. Let ${\ell }_n^m$ be the set of cacti on $n$ vertices with matching number $m.$ S.C. Li and…