On the spectral radius of block graphs with prescribed independence number α

CONDE, CRISTIAN M.; DRATMAN, EZEQUIEL; GRIPPO, LUCIANO N.

LINEAR ALGEBRA AND ITS APPLICATIONS

ELSEVIER SCIENCE INC

Año: 2021 vol. 614 p. 111 - 124

0024-3795

Let G(n,α) be the class of block graphs on n vertices and prescribed independence number α. In this article we prove that the maximum spectral radius ρ(G), among all graphs G∈G(n,α), is reached at a unique graph. As a byproduct we obtain an upper for ρ(G), when G∈G(n,α).