Groupe d’études et de recherche en analyse des décisions


The Minimum Spectral Radius of Graphs with a Given Clique Number


We show that among connected graphs with maximum clique size , the minimum value of the spectral radius of adjacency matrix is attained for a kite graph , which consists of a complete graph to a vertex of which a path is attached. For any fixed , a small interval to which the spectral radii of kites belong is exhibited.

, 14 pages