Inequalities on Vertex Degrees , Eigenvalues and ( Signless ) Laplacian Eigenvalues of Graphs

Several inequalities on vertex degrees, eigenvalues, Laplacian eigen-values, and signless Laplacian eigenvalues of graphs are presented in this note. Some of them are generalizations of the inequalities in [2]. We consider only finite undirected graphs without loops or multiple edges. Notation and terminology not defined here follow that in [1]. We use [n… CONTINUE READING