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» Generating Outerplanar Graphs Uniformly at Random
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ISAAC
2009
Springer
150views Algorithms» more  ISAAC 2009»
14 years 2 months ago
Random Generation and Enumeration of Bipartite Permutation Graphs
Connected bipartite permutation graphs without vertex labels are investigated. First, the number of connected bipartite permutation graphs of n vertices is given. Based on the num...
Toshiki Saitoh, Yota Otachi, Katsuhisa Yamanaka, R...
SODA
1996
ACM
95views Algorithms» more  SODA 1996»
13 years 8 months ago
RNC Algorithms for the Uniform Generation of Combinatorial Structures
We describe several RNC algorithms for generating graphs and subgraphs uniformly at random. For example, unlabelled undirected graphs are generated in O(lg3 n) time using O n2 lg3...
Michele Zito, Ida Pu, Martyn Amos, Alan Gibbons
RSA
2006
88views more  RSA 2006»
13 years 7 months ago
Randomly coloring sparse random graphs with fewer colors than the maximum degree
We analyze Markov chains for generating a random k-coloring of a random graph Gn,d/n. When the average degree d is constant, a random graph has maximum degree (log n/ log log n), ...
Martin E. Dyer, Abraham D. Flaxman, Alan M. Frieze...
FOCS
2009
IEEE
14 years 2 months ago
Faster Generation of Random Spanning Trees
In this paper, we set forth a new algorithm for generating approximately uniformly random spanning trees in undirected graphs. We show how to sample from a distribution that is wi...
Jonathan A. Kelner, Aleksander Madry
IJAC
2008
97views more  IJAC 2008»
13 years 7 months ago
Random Generation of Finitely Generated Subgroups of a Free Group
We give an efficient algorithm to randomly generate finitely generated subgroups of a given size, in a finite rank free group. Here, the size of a subgroup is the number of vertic...
Frédérique Bassino, Cyril Nicaud, Pa...