A fast and simple randomized parallel algorithm for the maximal independent set problem
Journal of Algorithms
A simple parallel algorithm for the maximal independent set problem
STOC '85 Proceedings of the seventeenth annual ACM symposium on Theory of computing
Greed is good: approximating independent sets in sparse and bounded-degree graphs
STOC '94 Proceedings of the twenty-sixth annual ACM symposium on Theory of computing
Computers and Intractability: A Guide to the Theory of NP-Completeness
Computers and Intractability: A Guide to the Theory of NP-Completeness
Enabling distributed throughput maximization in wireless mesh networks: a partitioning approach
Proceedings of the 12th annual international conference on Mobile computing and networking
A local greedy scheduling scheme with provable performance guarantee
Proceedings of the 9th ACM international symposium on Mobile ad hoc networking and computing
A refined performance characterization of longest-queue-first policy in wireless networks
Proceedings of the tenth ACM international symposium on Mobile ad hoc networking and computing
Improved bounds on the throughput efficiency of greedy maximal scheduling in wireless networks
Proceedings of the tenth ACM international symposium on Mobile ad hoc networking and computing
IEEE/ACM Transactions on Networking (TON)
Linear time 1/2 -approximation algorithm for maximum weighted matching in general graphs
STACS'99 Proceedings of the 16th annual conference on Theoretical aspects of computer science
INFOCOM'10 Proceedings of the 29th conference on Information communications
Analyzing the performance of greedy maximal scheduling via local pooling and graph theory
INFOCOM'10 Proceedings of the 29th conference on Information communications
Longest-queue-first scheduling under SINR interference model
Proceedings of the eleventh ACM international symposium on Mobile ad hoc networking and computing
IEEE/ACM Transactions on Networking (TON)
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In this paper, we derive new bounds on the throughput efficiency of Greedy Maximal Scheduling (GMS) for wireless networks of arbitrary topology under the general k-hop interference model. These results improve the known bounds for networks with up to 26 nodes under the 2-hop interference model. We also prove that GMS is throughput-optimal in small networks. In particular, we show that GMS achieves 100% throughput in networks with up to eight nodes under the 2-hop interference model. Furthermore, we provide a simple proof to show that GMS can be implemented using only local neighborhood information in networks of any size.