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JCT
2011
90views more  JCT 2011»
13 years 1 months ago
Small subgraphs in random graphs and the power of multiple choices
The standard paradigm for online power of two choices problems in random graphs is the Achlioptas process. Here we consider the following natural generalization: Starting with G0 a...
Torsten Mütze, Reto Spöhel, Henning Thom...
RSA
2006
66views more  RSA 2006»
13 years 6 months ago
Regular graphs whose subgraphs tend to be acyclic
Motivated by a problem that arises in the study of mirrored storage systems, we describe, for any fixed , > 0 and any integer d 2, explicit or randomized constructions of d-r...
Noga Alon, Eitan Bachmat
RSA
2008
70views more  RSA 2008»
13 years 6 months ago
Distribution of subgraphs of random regular graphs
Zhicheng Gao, Nicholas C. Wormald
LATIN
2000
Springer
13 years 10 months ago
Small Maximal Matchings in Random Graphs
We look at the minimal size of a maximal matching in general, bipartite and
Michele Zito
CORR
2010
Springer
182views Education» more  CORR 2010»
13 years 7 months ago
Component structure induced by a random walk on a random graph
We consider random walks on two classes of random graphs and explore the likely structure of the vacant set viz. the set of unvisited vertices. Let (t) be the subgraph induced by ...
Colin Cooper, Alan M. Frieze