Title
On the largest eigenvalue of non-regular graphs
Abstract
We study the spectral radius of connected non-regular graphs. Let @l"1(n,@D) be the maximum spectral radius among all connected non-regular graphs with n vertices and maximum degree @D. We prove that @D-@l"1(n,@D)=@Q(@D/n^2). This improves two recent results by Stevanovic and Zhang, respectively.
Year
DOI
Venue
2007
10.1016/j.jctb.2007.02.008
J. Comb. Theory, Ser. B
Keywords
Field
DocType
largest eigenvalue,maximum spectral radius,spectral radius,maximum degree,n vertex,non-regular graph,λ 1 -extremal graph,recent result,connected non-regular graph,λ1-extremal graph,regular graph
Random regular graph,Discrete mathematics,Strongly regular graph,Indifference graph,Combinatorics,Spectral radius,Chordal graph,1-planar graph,Pancyclic graph,Mathematics,Split graph
Journal
Volume
Issue
ISSN
97
6
Journal of Combinatorial Theory, Series B
Citations 
PageRank 
References 
4
0.67
3
Authors
3
Name
Order
Citations
PageRank
Bolian Liu110832.04
Jian Shen29214.67
Xinmao Wang3667.04