A simple parallel algorithm for the maximal independent set problem
SIAM Journal on Computing
Algorithms for some graph problems on a distributed computational model
Information Sciences: an International Journal
Almost all k-colorable graphs are easy to color
Journal of Algorithms
Welsh-Powell opposition graphs
Information Processing Letters
Improved distributed algorithms for coloring and network decomposition problems
STOC '92 Proceedings of the twenty-fourth annual ACM symposium on Theory of computing
Locality in distributed graph algorithms
SIAM Journal on Computing
Free Bits, PCPs, and Nonapproximability---Towards Tight Results
SIAM Journal on Computing
Assigning codes in wireless networks: bounds and scaling properties
Wireless Networks
Simple distributed&Dgr; + 1-coloring of graphs
Information Processing Letters
Fast distributed algorithms for Brooks-Vizing colorings
Journal of Algorithms
Fast distributed graph coloring with O(&Dgr;) colors
SODA '01 Proceedings of the twelfth annual ACM-SIAM symposium on Discrete algorithms
A Better Practical Algorithm for Distributed Graph Coloring
PARELEC '02 Proceedings of the International Conference on Parallel Computing in Electrical Engineering
Some simple distributed algorithms for sparse networks
Distributed Computing
On the complexity of distributed greedy coloring
DISC'07 Proceedings of the 21st international conference on Distributed Computing
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In the paper we consider distributed algorithms for greedy graph coloring. For the largest-first (LF) approach, we propose a new distributed algorithm which is shown to color a graph in an expected time of O(ΔlognlogΔ) rounds, and we prove that any distributed LF-coloring algorithm requires at least Ω(Δ) rounds. We discuss the quality of obtained colorings in the general case and for particular graph classes. Finally, we show that other greedy graph coloring approaches, such as smallest-last (SL) or dynamic-saturation (SLF), are not suitable for application in distributed computing, requiring Ω(n) rounds.