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» On the extreme eigenvalues of regular graphs
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COMBINATORICS
2007
99views more  COMBINATORICS 2007»
13 years 5 months ago
The Spectral Radius of Subgraphs of Regular Graphs
Let µ (G) and µmin (G) be the largest and smallest eigenvalues of the adjacency matrix of a graph G. Our main results are: (i) Let G be a regular graph of order n and finite di...
Vladimir Nikiforov
CPC
2002
113views more  CPC 2002»
13 years 5 months ago
Some Inequalities For The Largest Eigenvalue Of A Graph
Let (G) be the largest eigenvalue of the adjacency matrix of a graph G: We show that if G is Kp+1-free then (G) r 2 p 1 p e (G): This inequality was ...rst conjectured by Edwards ...
Vladimir Nikiforov
WWW
2008
ACM
14 years 6 months ago
Measuring extremal dependencies in web graphs
We analyze dependencies in power law graph data (Web sample, Wikipedia sample and a preferential attachment graph) using statistical inference for multivariate regular variation. ...
Yana Volkovich, Nelly Litvak, Bert Zwart