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» Generating Outerplanar Graphs Uniformly at Random
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CORR
2004
Springer
83views Education» more  CORR 2004»
13 years 5 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
STOC
2003
ACM
109views Algorithms» more  STOC 2003»
14 years 5 months ago
Generating random regular graphs
Random regular graphs play a central role in combinatorics and theoretical computer science. In this paper, we analyze a simple algorithm introduced by Steger and Wormald [10] and...
Jeong Han Kim, Van H. Vu
APPROX
2008
Springer
184views Algorithms» more  APPROX 2008»
13 years 7 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
WAW
2007
Springer
122views Algorithms» more  WAW 2007»
13 years 11 months ago
A Geometric Preferential Attachment Model of Networks II
We study a random graph Gn that combines certain aspects of geometric random graphs and preferential attachment graphs. This model yields a graph with power-law degree distributio...
Abraham D. Flaxman, Alan M. Frieze, Juan Vera
CORR
2008
Springer
103views Education» more  CORR 2008»
13 years 5 months ago
Generating Random Graphs with Large Girth
We present a simple and efficient algorithm for randomly generating simple graphs without small cycles. These graphs can be used to design high performance Low-Density Parity-Chec...
Mohsen Bayati, Andrea Montanari, Amin Saberi