In this paper, we characterize the extremal digraph with the maximal signless Laplacian spectral radius and the minimal distance signless Laplacian spectral radius among all simple connected digraphs with a given dichromatic number, respectively.
Citation
Jinxi Li, Lihua You. The (Distance) Signless Laplacian Spectral Radii of Digraphs with Given Dichromatic Number[J], Ars Combinatoria, Volume 132. 257-267. .