Title
Improved Distributed Delta-Coloring
Abstract
We present a randomized distributed algorithm that computes a Delta-coloring in any non-complete graph with maximum degree Delta >= 4 in O(log Delta)+ 2(O)(root(log log n)) rounds, as well as a randomized algorithm that computes a Delta-coloring in O((log log n)(2)) rounds when Delta is an element of [3, O(1)]. Both these algorithms improve on an O(log(3) n/log Delta)-round algorithm of Panconesi and Srinivasan (STOC'93), which has remained the state of the art for the past 25 years. Moreover, the latter algorithm gets (exponentially) closer to an Omega (log log n) round lower bound of Brandt et al. (STOC'16).
Year
DOI
Venue
2021
10.1007/s00446-021-00397-4
DISTRIBUTED COMPUTING
DocType
Volume
Issue
Journal
34
4
ISSN
Citations 
PageRank 
0178-2770
0
0.34
References 
Authors
0
4
Name
Order
Citations
PageRank
Mohsen Ghaffari145244.89
Juho Hirvonen210611.81
Fabian Kuhn341.77
Yannic Maus42511.43