ONLINE COLORING OF SPARSE RANDOM GRAPHS AND RANDOM TREES

Citation
B. Pittel et Rs. Weishaar, ONLINE COLORING OF SPARSE RANDOM GRAPHS AND RANDOM TREES, Journal of algorithms, 23(1), 1997, pp. 195-205
Citations number
11
Categorie Soggetti
Mathematics,Mathematics,"Computer Science Theory & Methods
Journal title
ISSN journal
01966774
Volume
23
Issue
1
Year of publication
1997
Pages
195 - 205
Database
ISI
SICI code
0196-6774(1997)23:1<195:OCOSRG>2.0.ZU;2-B
Abstract
The performance of the greedy coloring algorithm ''first fit'' on spar se random graphs G(n,c/n) and on random trees is investigated. In each case, approximately log(2)log n colors are used, the exact number bei ng concentrated almost surely on at most two consecutive integers for a sparse random graph and on at most three consecutive integers for a random tree. (C) 1997 Academic Press.