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» The Connectivity of addition Cayley graphs
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COMBINATORICA
2000
105views more  COMBINATORICA 2000»
13 years 5 months ago
On Cayley Graphs on the Symmetric Group Generated by Tranpositions
Given a connected graph, X, we denote by 2 = 2(X) its smallest non-zero Laplacian eigenvalue. In this paper we show that among all sets of n - 1 transpositions which generate the ...
Joel Friedman
WG
1998
Springer
13 years 9 months ago
Integral Uniform Flows in Symmetric Networks
We study the integral uniform (multicommodity) flow problem in a graph G and construct a fractional solution whose properties are invariant under the action of a group of automorp...
Farhad Shahrokhi, László A. Sz&eacut...
EJC
2006
13 years 5 months ago
Counting connected graphs asymptotically
We find the asymptotic number of connected graphs with k vertices and k - 1 + l edges when k, l approach infinity, reproving a result of Bender, Canfield and McKay. We use the pro...
Remco van der Hofstad, Joel Spencer
CORR
2011
Springer
175views Education» more  CORR 2011»
13 years 10 days ago
A Matrix Hyperbolic Cosine Algorithm and Applications
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...
Anastasios Zouzias
DAM
2011
13 years 9 days ago
Weak sense of direction labelings and graph embeddings
An edge-labeling λ for a directed graph G has a weak sense of direction (WSD) if there is a function f that satisfies the condition that for any node u and for any two label seq...
Christine T. Cheng, Ichiro Suzuki