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In 2015 Bloom and Liebenau proved that $K_n$ and $K_n+K_{n-1}$ possess thesame $2$-Ramsey graphs for all $n\geq 3$ (with a single exception for $n=3$).In the following we give a simple proof that $K_n$ and $K_n+K_{n-1}$ possessthe same $r$-Ramsey graphs for all $n, r\geq 3$.

Ramsey equivalence of $K_n$ and $K_n+K_{n-1}$ for multiple colours