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» Regular induced subgraphs of a random Graph
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RSA
2011
77views more  RSA 2011»
13 years 4 months ago
Regular induced subgraphs of a random Graph
An old problem of Erd˝os, Fajtlowicz and Staton asks for the order of a largest induced regular subgraph that can be found in every graph on n vertices. Motivated by this problem...
Michael Krivelevich, Benny Sudakov, Nicholas C. Wo...
CORR
2010
Springer
182views Education» more  CORR 2010»
13 years 9 months ago
Component structure induced by a random walk on a random graph
We consider random walks on two classes of random graphs and explore the likely structure of the vacant set viz. the set of unvisited vertices. Let (t) be the subgraph induced by ...
Colin Cooper, Alan M. Frieze
JGAA
2007
142views more  JGAA 2007»
13 years 9 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
ACID
2006
237views Algorithms» more  ACID 2006»
13 years 10 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
JCT
2008
70views more  JCT 2008»
13 years 9 months ago
The number of possibilities for random dating
Let G be a regular graph and H a subgraph on the same vertex set. We give surprisingly compact formulas for the number of copies of H one expects to find in a random subgraph of G...
Aaron Abrams, Rod Canfield, Andrew Granville