31 search results - page 1 / 7 » Regular induced subgraphs of a random Graph |
RSA
2011
13 years 4 months ago
2011
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...
CORR
2010
Springer
13 years 9 months ago
2010
Springer
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 ...
JGAA
2007
13 years 9 months ago
2007
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...
ACID
2006
13 years 10 months ago
2006
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 ...
JCT
2008
13 years 9 months ago
2008
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...