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» On the distribution of eigenvalues of graphs
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EJC
2008
14 years 9 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
CORR
2011
Springer
215views Education» more  CORR 2011»
14 years 1 months ago
Lasserre Hierarchy, Higher Eigenvalues, and Approximation Schemes for Quadratic Integer Programming with PSD Objectives
We present an approximation scheme for optimizing certain Quadratic Integer Programming problems with positive semidefinite objective functions and global linear constraints. Thi...
Venkatesan Guruswami, Ali Kemal Sinop
SRDS
2003
IEEE
15 years 2 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»
14 years 9 months ago
On the extreme eigenvalues of regular graphs
Sebastian M. Cioaba