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» Generating Labeled Planar Graphs Uniformly at Random
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SODA
1996
ACM
95views Algorithms» more  SODA 1996»
14 years 5 days 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
MFCS
1998
Springer
14 years 3 months ago
Facial Circuits of Planar Graphs and Context-Free Languages
It is known that a language is context-free iff it is the set of borders of the trees of recognizable set, where the border of a (labelled) tree is the word consisting of its leaf ...
Bruno Courcelle, Denis Lapoire
RSA
2006
88views more  RSA 2006»
13 years 10 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...
JGAA
2007
142views more  JGAA 2007»
13 years 10 months ago
Approximation Algorithms for the Maximum Induced Planar and Outerplanar Subgraph Problems
The task of finding the largest subset of vertices of a graph that induces a planar subgraph is known as the Maximum Induced Planar Subgraph problem (MIPS). In this paper, some n...
Kerri Morgan, Graham Farr
FOCS
2009
IEEE
14 years 5 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