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CPC
2002

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Some Inequalities For The Largest Eigenvalue Of A Graph

13 years 6 months ago

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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

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EJC
2008

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On triangle-free distance-regular graphs with an eigenvalue multiplicity equal to the valency

13 years 6 months ago

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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

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SRDS
2003
IEEE

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Epidemic Spreading in Real Networks: An Eigenvalue Viewpoint

14 years 6 hour ago

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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,...

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FOCS
1992
IEEE

100views Theoretical Computer Science» more FOCS 1992»

On the Second Eigenvalue and Linear Expansion of Regular Graphs

13 years 10 months ago

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Nabil Kahale

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