A fast and simple randomized parallel algorithm for maximal matching
Information Processing Letters
A fast and simple randomized parallel algorithm for the maximal independent set problem
Journal of Algorithms
Deterministic coin tossing with applications to optimal parallel list ranking
Information and Control
A simple parallel algorithm for the maximal independent set problem
SIAM Journal on Computing
Parallel symmetry-breaking in sparse graphs
SIAM Journal on Discrete Mathematics
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
Fast distributed network decompositions and covers
Journal of Parallel and Distributed Computing
Nearly optimal distributed edge colouring in O(log log n) rounds
SODA '97 Proceedings of the eighth annual ACM-SIAM symposium on Discrete algorithms
Fast distributed graph coloring with O(&Dgr;) colors
SODA '01 Proceedings of the twelfth annual ACM-SIAM symposium on Discrete algorithms
What cannot be computed locally!
Proceedings of the twenty-third annual ACM symposium on Principles of distributed computing
Local approximation schemes for ad hoc and sensor networks
DIALM-POMC '05 Proceedings of the 2005 joint workshop on Foundations of mobile computing
On the complexity of distributed graph coloring
Proceedings of the twenty-fifth annual ACM symposium on Principles of distributed computing
A randomized distributed algorithm for the maximal independent set problem in growth-bounded graphs
Proceedings of the twenty-sixth annual ACM symposium on Principles of distributed computing
Network decomposition and locality in distributed computation
SFCS '89 Proceedings of the 30th Annual Symposium on Foundations of Computer Science
Sublogarithmic distributed MIS algorithm for sparse graphs using nash-williams decomposition
Proceedings of the twenty-seventh ACM symposium on Principles of distributed computing
A log-star distributed maximal independent set algorithm for growth-bounded graphs
Proceedings of the twenty-seventh ACM symposium on Principles of distributed computing
Distributed (δ+1)-coloring in linear (in δ) time
Proceedings of the forty-first annual ACM symposium on Theory of computing
Weak graph colorings: distributed algorithms and applications
Proceedings of the twenty-first annual symposium on Parallelism in algorithms and architectures
Deterministic distributed vertex coloring in polylogarithmic time
Proceedings of the 29th ACM SIGACT-SIGOPS symposium on Principles of distributed computing
Distributed coloring in Õ (√log n) Bit Rounds
IPDPS'06 Proceedings of the 20th international conference on Parallel and distributed processing
Brief announcement: efficient graph algorithms without synchronization
Proceedings of the 29th ACM SIGACT-SIGOPS symposium on Principles of distributed computing
Deploying wireless networks with beeps
DISC'10 Proceedings of the 24th international conference on Distributed computing
Distributed graph coloring in a few rounds
Proceedings of the 30th annual ACM SIGACT-SIGOPS symposium on Principles of distributed computing
Toward more localized local algorithms: removing assumptions concerning global knowledge
Proceedings of the 30th annual ACM SIGACT-SIGOPS symposium on Principles of distributed computing
Distributed deterministic edge coloring using bounded neighborhood independence
Proceedings of the 30th annual ACM SIGACT-SIGOPS symposium on Principles of distributed computing
Bounds on contention management algorithms
Theoretical Computer Science
Deterministic Distributed Vertex Coloring in Polylogarithmic Time
Journal of the ACM (JACM)
Distributed coloring depending on the chromatic number or the neighborhood growth
SIROCCO'11 Proceedings of the 18th international conference on Structural information and communication complexity
Trading bit, message, and time complexity of distributed algorithms
DISC'11 Proceedings of the 25th international conference on Distributed computing
Combinatorial algorithms for distributed graph coloring
DISC'11 Proceedings of the 25th international conference on Distributed computing
STOC '12 Proceedings of the forty-fourth annual ACM symposium on Theory of computing
On the locality of some NP-complete problems
ICALP'12 Proceedings of the 39th international colloquium conference on Automata, Languages, and Programming - Volume Part II
Randomized distributed decision
DISC'12 Proceedings of the 26th international conference on Distributed Computing
Towards a complexity theory for local distributed computing
Journal of the ACM (JACM)
Fast distributed coloring algorithms for triangle-free graphs
ICALP'13 Proceedings of the 40th international conference on Automata, Languages, and Programming - Volume Part II
Symmetry breaking depending on the chromatic number or the neighborhood growth
Theoretical Computer Science
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We introduce Multi-Trials, a new technique for symmetry breaking for distributed algorithms and apply it to various problems in general graphs. For instance, we present three randomized algorithms for distributed (vertex or edge) coloring improving on previous algorithms and showing a time/color trade-off. To get a Δ+1 coloring takes time O(log Δ+ √ log n). To obtain an O(Δ+log1+1/log*nn) coloring takes time O(log* n). This is more than an exponential improvement in time for graphs of polylogarithmic degree. Our fastest algorithm works in constant time using O(Δlog(c) n+ log1+1/c n) colors, where c denotes an arbitrary constant and log(c ) n denotes the c times (recursively) applied logarithm ton. We also use the Multi-Trials technique to compute network decompositions and to compute maximal independent set (MIS), obtaining new results for several graph classes.