Peng-Li Zhang

A solution to a conjecture on the signless Laplacian spectral radius for $t$-color-critical graphs

An induced matching is a matching that forms an induced subgraph. A graph is $t$-color-critical if removing some induced matching of size $t$ lowers its chromatic number, but removing any $t-1$ vertices does not. Let $F$ be a $t$-color-critical graph with $\chi(F)=r+1$. For sufficiently large $n$, Simonovits determined...