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» Eigenvalues of the derangement graph
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CPC
2002
113views more  CPC 2002»
15 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
EJC
2008
15 years 6 months ago
On triangle-free distance-regular graphs with an eigenvalue multiplicity equal to the valency
Let be a triangle-free distance-regular graph with diameter d 3, valency k 3 and intersection number a2 = 0. Assume has an eigenvalue with multiplicity k. We show that if for ...
Kris Coolsaet, Aleksandar Jurisic, Jack H. Koolen
SRDS
2003
IEEE
15 years 11 months ago
Epidemic Spreading in Real Networks: An Eigenvalue Viewpoint
How will a virus propagate in a real network? Does an epidemic threshold exist for a finite powerlaw graph, or any finite graph? How long does it take to disinfect a network giv...
Yang Wang 0008, Deepayan Chakrabarti, Chenxi Wang,...
JCT
2006
71views more  JCT 2006»
15 years 6 months ago
On the extreme eigenvalues of regular graphs
Sebastian M. Cioaba