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RSA
2008
125views more  RSA 2008»
13 years 3 months ago
The game chromatic number of random graphs
: Given a graph G and an integer k, two players take turns coloring the vertices of G one by one using k colors so that neighboring vertices get different colors. The first player ...
Tom Bohman, Alan M. Frieze, Benny Sudakov
RSA
2008
78views more  RSA 2008»
13 years 3 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
2008
89views more  RSA 2008»
13 years 3 months ago
Simple permutations mix even better
We study the random composition of a small family of O(n3 ) simple permutations on {0, 1}n . Specifically we ask how many randomly selected simple permutations need be composed to...
Alex Brodsky, Shlomo Hoory
RSA
2008
81views more  RSA 2008»
13 years 3 months ago
Analyzing linear mergers
Mergers are functions that transform k (possibly dependent) random sources into a single random source, in a way that ensures that if one of the input sources has minentropy rate ...
Zeev Dvir, Ran Raz
RSA
2008
123views more  RSA 2008»
13 years 3 months ago
Generating unlabeled connected cubic planar graphs uniformly at random
We present an expected polynomial time algorithm to generate an unlabeled connected cubic planar graph uniformly at random. We first consider rooted connected cubic planar graphs, ...
Manuel Bodirsky, Clemens Gröpl, Mihyun Kang