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» Eigenvalues of the derangement graph
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JCT
2007
67views more  JCT 2007»
13 years 6 months ago
Extreme eigenvalues of nonregular graphs
Sebastian M. Cioaba, David A. Gregory, Vladimir Ni...
STOC
2003
ACM
118views Algorithms» more  STOC 2003»
14 years 7 months ago
A proof of Alon's second eigenvalue conjecture
A d-regular graph has largest or first (adjacency matrix) eigenvalue 1 = d. In this paper we show the following conjecture of Alon. Fix an integer d > 2 and a real > 0. Then...
Joel Friedman
INFOVIS
2002
IEEE
13 years 11 months ago
ACE: A Fast Multiscale Eigenvectors Computation for Drawing Huge Graphs
We present an extremely fast graph drawing algorithm for very large graphs, which we term ACE (for Algebraic multigrid Computation of Eigenvectors). ACE exhibits an improvement of...
Yehuda Koren, Liran Carmel, David Harel
EJC
2010
13 years 6 months ago
Shilla distance-regular graphs
A Shilla distance-regular graph (say with valency k) is a distance-regular graph with diameter 3 such that its second largest eigenvalue equals to a3. We will show that a3 divide...
Jack H. Koolen, Jongyook Park
DM
2002
86views more  DM 2002»
13 years 6 months ago
A chip-firing game and Dirichlet eigenvalues
We consider a variation of the chip-firing game in a induced subgraph S of a graph G. Starting from a given chip configuration, if a vertex v has at least as many chips as its deg...
Fan R. K. Chung, Robert B. Ellis