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ICALP
2003
Springer
14 years 1 months ago
Generating Labeled Planar Graphs Uniformly at Random
Abstract. We present an expected polynomial time algorithm to generate a labeled planar graph uniformly at random. To generate the planar graphs, we derive recurrence formulas that...
Manuel Bodirsky, Clemens Gröpl, Mihyun Kang
RSA
2011
77views more  RSA 2011»
13 years 2 months ago
Regular induced subgraphs of a random Graph
An old problem of Erd˝os, Fajtlowicz and Staton asks for the order of a largest induced regular subgraph that can be found in every graph on n vertices. Motivated by this problem...
Michael Krivelevich, Benny Sudakov, Nicholas C. Wo...
RSA
2008
78views more  RSA 2008»
13 years 7 months ago
How many random edges make a dense hypergraph non-2-colorable?
: We study a model of random uniform hypergraphs, where a random instance is obtained by adding random edges to a large hypergraph of a given density. The research on this model fo...
Benny Sudakov, Jan Vondrák
RSA
2006
80views more  RSA 2006»
13 years 7 months ago
Regular subgraphs of random graphs
In this paper, we prove that there exists a function k = (4 + o(1))k such that G(n, /n) contains a k-regular graph with high probability whenever > k. In the case of k = 3, it...
Béla Bollobás, Jeong Han Kim, Jacque...
JCT
2007
108views more  JCT 2007»
13 years 7 months ago
The cover time of the preferential attachment graph
The preferential attachment graph Gm(n) is a random graph formed by adding a new vertex at each time step, with m edges which point to vertices selected at random with probability...
Colin Cooper, Alan M. Frieze