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» Generating Labeled Planar Graphs Uniformly at Random
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ISAAC
2009
Springer
150views Algorithms» more  ISAAC 2009»
13 years 11 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...
APPROX
2008
Springer
184views Algorithms» more  APPROX 2008»
13 years 6 months ago
Approximately Counting Embeddings into Random Graphs
Let H be a graph, and let CH(G) be the number of (subgraph isomorphic) copies of H contained in a graph G. We investigate the fundamental problem of estimating CH(G). Previous res...
Martin Fürer, Shiva Prasad Kasiviswanathan
GECCO
2006
Springer
157views Optimization» more  GECCO 2006»
13 years 8 months ago
How randomized search heuristics find maximum cliques in planar graphs
Surprisingly, general search heuristics often solve combinatorial problems quite sufficiently, although they do not outperform specialized algorithms. Here, the behavior of simple...
Tobias Storch
CORR
2004
Springer
83views Education» more  CORR 2004»
13 years 4 months ago
Generating connected acyclic digraphs uniformly at random
We describe a simple algorithm based on a Markov chain process to generate simply connected acyclic directed graphs over a fixed set of vertices. This algorithm is an extension of...
Guy Melançon, Fabrice Philippe
APPROX
2008
Springer
125views Algorithms» more  APPROX 2008»
13 years 6 months ago
On the Degree Sequences of Random Outerplanar and Series-Parallel Graphs
In order to perform an average-case analysis for specific input distributions one needs to derive and understand properties of a 'typical' input instance. In the case of...
Nicla Bernasconi, Konstantinos Panagiotou, Angelik...