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RSA
2011
77views more  RSA 2011»
13 years 2 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 7 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
JCT
2007
96views more  JCT 2007»
13 years 7 months ago
Induced subgraphs of Ramsey graphs with many distinct degrees
An induced subgraph is called homogeneous if it is either a clique or an independent set. Let hom(G) denote the size of the largest homogeneous subgraph of a graph G. In this shor...
Boris Bukh, Benny Sudakov
SODA
2008
ACM
112views Algorithms» more  SODA 2008»
13 years 8 months ago
The effect of induced subgraphs on quasi-randomness
One of the main questions that arise when studying random and quasi-random structures is which properties P are such that any object that satisfies P "behaves" like a tr...
Asaf Shapira, Raphael Yuster
GBRPR
2005
Springer
14 years 26 days ago
A Direct Algorithm to Find a Largest Common Connected Induced Subgraph of Two Graphs
Abstract. We present a direct algorithm that computes a largest common connected induced subgraph of two given graphs. It is based on an efficient generation of the common connecte...
Bertrand Cuissart, Jean-Jacques Hébrard