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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...
RSA
2006
80views more  RSA 2006»
13 years 9 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...
EOR
2010
133views more  EOR 2010»
13 years 9 months ago
A memetic algorithm for graph coloring
Given an undirected graph G = (V, E) with a set V of vertices and a set E of edges, the graph coloring problem consists of partitioning all vertices into k independent sets and th...
Zhipeng Lü, Jin-Kao Hao
IPPS
2003
IEEE
14 years 2 months ago
Channel Assignment on Strongly-Simplicial Graphs
Given a vector ( 1 2 ::: t) of non increasing positive integers, and an undirected graph G = (V E), an L( 1 2 ::: t)-coloring of G is a function f from the vertex set V to a set o...
Alan A. Bertossi, Maria Cristina Pinotti, Romeo Ri...
JCT
2007
108views more  JCT 2007»
13 years 9 months ago
The cover time of the preferential attachment graph
The preferential attachment graph Gm(n) is a random graph formed by adding a new vertex at each time step, with m edges which point to vertices selected at random with probability...
Colin Cooper, Alan M. Frieze