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RSA
2006
80views more  RSA 2006»
13 years 7 months ago
Regular subgraphs of random graphs
In this paper, we prove that there exists a function k = (4 + o(1))k such that G(n, /n) contains a k-regular graph with high probability whenever > k. In the case of k = 3, it...
Béla Bollobás, Jeong Han Kim, Jacque...
JGT
2008
105views more  JGT 2008»
13 years 7 months ago
The bond and cycle spaces of an infinite graph
Bonnington and Richter defined the cycle space of an infinite graph to consist of the sets of edges of subgraphs having even degree at every vertex. Diestel and K
Karel Casteels, R. Bruce Richter
JGAA
2007
142views more  JGAA 2007»
13 years 7 months ago
Approximation Algorithms for the Maximum Induced Planar and Outerplanar Subgraph Problems
The task of finding the largest subset of vertices of a graph that induces a planar subgraph is known as the Maximum Induced Planar Subgraph problem (MIPS). In this paper, some n...
Kerri Morgan, Graham Farr
SODA
2010
ACM
209views Algorithms» more  SODA 2010»
14 years 4 months ago
Counting Stars and Other Small Subgraphs in Sublinear Time
Detecting and counting the number of copies of certain subgraphs (also known as network motifs or graphlets), is motivated by applications in a variety of areas ranging from Biolo...
Mira Gonen, Dana Ron, Yuval Shavitt
ACID
2006
237views Algorithms» more  ACID 2006»
13 years 8 months ago
Parameterized Complexity of Finding Regular Induced Subgraphs
The r-Regular Induced Subgraph problem asks, given a graph G and a nonnegative integer k, whether G contains an r-regular induced subgraph of size at least k, that is, an induced ...
Hannes Moser, Dimitrios M. Thilikos