Spectral extremal graphs for disjoint cliques

Zhenyu Ni, Jing Wang, Liying Kang

The $k{K}_{r+1}$ is the union of $k$ disjoint copies of $(r+1)$-clique. Moon [Canad. J. Math. 20 (1968) 95--102] and Simonovits [Theory of Graphs (Proc. colloq., Tihany, 1996)] indep…