Title
Colouring Random Graphs in Expected Polynomial Time
Abstract
We investigate the problem of colouring random graphs G 驴 G(n, p) in polynomial expected time. For the case p n, we present an algorithm that finds an optimal colouring in linear expected time. For sufficiently large values of p, we give algorithms which approximate the chromatic number within a factor of O(驴np). As a byproduct, we obtain an O(驴np/ ln(np))-approximation algorithm for the independence number which runs in polynomial expected time provided p 驴 ln6 n/n.
Year
DOI
Venue
2003
10.1007/3-540-36494-3_43
STACS
Keywords
Field
DocType
random graph,linear expected time,polynomial expected time,colouring random graphs,optimal colouring,chromatic number,large value,approximation algorithm,independence number,ln6 n,expected polynomial time,case p n,polynomial time
Approximation algorithm,Discrete mathematics,Pseudo-polynomial time,Combinatorics,Independence number,Random graph,Polynomial,Greedy algorithm,Time complexity,Minimum time,Mathematics
Conference
Volume
ISSN
ISBN
2607
0302-9743
3-540-00623-0
Citations 
PageRank 
References 
10
0.83
21
Authors
2
Name
Order
Citations
PageRank
Amin Coja-Oghlan154347.25
Anusch Taraz216837.71