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» Generating Random Graphs with Large Girth
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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
WAW
2004
Springer
96views Algorithms» more  WAW 2004»
13 years 10 months ago
A Geometric Preferential Attachment Model of Networks
We study a random graph Gn that combines certain aspects of geometric random graphs and preferential attachment graphs. The vertices of Gn are n sequentially generated points x1, ...
Abraham Flaxman, Alan M. Frieze, Juan Vera
WEA
2007
Springer
111views Algorithms» more  WEA 2007»
13 years 11 months ago
Vertex Cover Approximations on Random Graphs
Abstract. The vertex cover problem is a classical NP-complete problem for which the best worst-case approximation ratio is 2− o(1). In this paper, we use a collection of simple g...
Eyjolfur Asgeirsson, Clifford Stein
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
ISCA
2012
IEEE
280views Hardware» more  ISCA 2012»
11 years 7 months ago
A case for random shortcut topologies for HPC interconnects
—As the scales of parallel applications and platforms increase the negative impact of communication latencies on performance becomes large. Fortunately, modern High Performance C...
Michihiro Koibuchi, Hiroki Matsutani, Hideharu Ama...