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SODA
2007
ACM
76views Algorithms» more  SODA 2007»
13 years 9 months ago
An unbiased pointing operator for unlabeled structures, with applications to counting and sampling
We introduce a general method to count and randomly sample unlabeled combinatorial structures. The approach is based on pointing unlabeled structures in an “unbiased” way, i.e...
Manuel Bodirsky, Éric Fusy, Mihyun Kang, St...
ALGORITHMICA
2004
130views more  ALGORITHMICA 2004»
13 years 7 months ago
Diameter and Treewidth in Minor-Closed Graph Families, Revisited
Eppstein [5] characterized the minor-closed graph families for which the treewidth is bounded by a function of the diameter, which includes e.g. planar graphs. This characterizatio...
Erik D. Demaine, Mohammad Taghi Hajiaghayi
GC
2007
Springer
13 years 7 months ago
On the Maximum Number of Cliques in a Graph
A clique is a set of pairwise adjacent vertices in a graph. We determine the maximum number of cliques in a graph for the following graph classes: (1) graphs with n vertices and m ...
David R. Wood
RSA
2008
123views more  RSA 2008»
13 years 7 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
ISAAC
2005
Springer
123views Algorithms» more  ISAAC 2005»
14 years 1 months ago
Sampling Unlabeled Biconnected Planar Graphs
We present an expected polynomial time algorithm to generate a 2-connected unlabeled planar graph uniformly at random. To do this we first derive recurrence formulas to count the ...
Manuel Bodirsky, Clemens Gröpl, Mihyun Kang