3 search results - page 1 / 1 » Spectral estimates for Abelian Cayley graphs |
JCT
2006
13 years 4 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...
CORR
2011
Springer
12 years 12 months ago
2011
Springer
Wigderson and Xiao presented an efficient derandomization of the matrix Chernoff bound using the method of pessimistic estimators [WX08]. Building on their construction, we prese...
SIAMDM
2008
13 years 4 months ago
2008
In this paper we consider the problem of testing whether a graph is triangle-free, and more generally, whether it is H-free, for a fixed subgraph H. The algorithm should accept gr...