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» Generating Outerplanar Graphs Uniformly at Random
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CORR
2004
Springer
83views Education» more  CORR 2004»
14 years 11 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»
15 years 12 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»
15 years 1 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»
15 years 5 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»
14 years 11 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