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RSA
2010
108views more  RSA 2010»
13 years 6 months ago
Resolvent of large random graphs
We analyze the convergence of the spectrum of large random graphs to the spectrum of a limit infinite graph. We apply these results to graphs converging locally to trees and deri...
Charles Bordenave, Marc Lelarge
COMBINATORICS
2004
94views more  COMBINATORICS 2004»
13 years 7 months ago
Short Cycles in Random Regular Graphs
Consider random regular graphs of order n and degree d = d(n) 3. Let g = g(n) 3 satisfy (d-1)2g-1 = o(n). Then the number of cycles of lengths up to g have a distribution simila...
Brendan D. McKay, Nicholas C. Wormald, Beata Wysoc...
CAAN
2007
Springer
14 years 1 months ago
Cleaning Random d-Regular Graphs with Brushes Using a Degree-Greedy Algorithm
In the recently introduced model for cleaning a graph with brushes, we use a degree-greedy algorithm to clean a random d-regular graph on n vertices (with dn even). We then use a d...
Margaret-Ellen Messinger, Pawel Pralat, Richard J....
RSA
2002
81views more  RSA 2002»
13 years 7 months ago
Decycling numbers of random regular graphs
: The decycling number (G) of a graph G is the smallest number of vertices which can be removed from G so that the resultant graph contains no cycles. In this paper, we study the d...
Sheng Bau, Nicholas C. Wormald, Sanming Zhou
COLT
2006
Springer
13 years 11 months ago
Uniform Convergence of Adaptive Graph-Based Regularization
Abstract. The regularization functional induced by the graph Laplacian of a random neighborhood graph based on the data is adaptive in two ways. First it adapts to an underlying ma...
Matthias Hein