Publication

Linear Algebra and Its Applications

Paper

# On graphs whose least eigenvalue exceeds - 1 - √2

## Abstract

Let G be a graph, A(G) its adjacency matrix. We prove that, if the least eigenvalue of A(G) exceeds -1 - √2 and every vertex of G has large valence, then the least eigenvalue is at least -2 and G is a generalized line graph. © 1997.