Solutions to conjectures on the $(k,\ell )$-rainbow index of complete graphs

Qingqiong Cai, Xueliang Li, Jiangli Song

The $(k,\ell )$-rainbow index $r{x}_{k,\ell }(G)$ of a graph $G$ was introduced by Chartrand et. al. For the complete graph $K_n$ of order $n\ge 6$, they showed that $rx_{3,\ell}(K_n…