2270 search results - page 18 / 454 » On the distribution of eigenvalues of graphs |
96
Voted
JCT
2006
14 years 11 months ago
2006
We give two short proofs that for fixed d, a d-regular Cayley graph on an Abelian group of order n has second eigenvalue bounded below by d - O(dn-4/d), where the implied constant...
ENDM
2002
14 years 11 months ago
2002
Motivated by a problem on message routing in communication networks, Graham and Pollak proposed a scheme for addressing the vertices of a graph G by N-tuples of three symbols in s...
103
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JCT
2007
14 years 11 months ago
2007
We prove a number of relations between the number of cliques of a graph G and the largest eigenvalue (G) of its adjacency matrix. In particular, writing ks (G) for the number of s...
166
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WAOA
2010
Springer
14 years 9 months ago
2010
Springer
In this paper, we improve a result by Arora, Khot, Kolla, Steurer, Tulsiani, and Vishnoi on solving the Unique Games problem on expanders. Given a (1-)-satisfiable instance of Uniq...
CPC
2006
14 years 11 months ago
2006
We observe returns of a simple random walk on a finite graph to a fixed node, and would like to infer properties of the graph, in particular properties of the spectrum of the trans...