Spectral radius of bipartite graphs

Spectral radius of bipartite graphs

On the distance spectral radius of bipartite graphs

Article history: Received 11 June 2011 Accepted 29 July 2011 Available online 27 August 2011 Submitted by R.A. Brualdi AMS classification: 05C50 15A18

On the spectral radius of bipartite graphs with given diameter

Article history: Received 17 March 2008 Accepted 9 October 2008 Available online 3 December 2008 Submitted by R.A. Brualdi AMS classification: 05C50

On graphs whose spectral radius

The structure of graphs whose largest eigenvalue is bounded by 3 2 √ 2 (≈ 2.1312) is investigated. In particular, such a graph can have at most one circuit, and has a natural quipu structure.

On the spectral radius of graphs

Let G be a simple undirected graph. For v ∈ V (G), the 2-degree of v is the sum of the degrees of the vertices adjacent to v. Denote by ρ(G) and μ(G) the spectral radius of the adjacency matrix and the Laplacian matrix of G, respectively. In this paper, we present two lower bounds of ρ(G) and μ(G) in terms of the degrees and the 2-degrees of vertices. © 2004 Elsevier Inc. All rights reserved. A...