Deterministic multi-channel information exchange

被引:0
|
作者
Holzer, Stephan [1 ,3 ]
Locher, Thomas [2 ]
Pignolet, Yvonne Anne [2 ]
Wattenhofer, Roger [3 ]
机构
[1] MIT, Cambridge, MA 02139 USA
[2] ABB Corp Res, Baden, Switzerland
[3] Swiss Fed Inst Technol, Zurich, Switzerland
关键词
Information exchange problem; k-selection; Many-to-all communication; Multi-message broadcast; Multiple access channel; Multi-channel; Wireless computing; Single-hop networks; Deterministic algorithms and lower bounds;
D O I
10.1016/j.jcss.2017.02.006
中图分类号
TP3 [计算技术、计算机技术];
学科分类号
0812 ;
摘要
We study the information exchange problem on a set of multiple access channels: k arbitrary nodes have information they want to distribute to the entire network of n nodes via a shared medium partitioned into channels. We devise a deterministic algorithm running in asymptotically optimal time O(k) using O(n(log(k)/k)) channels if k <= 1/6 logn and O(log(1+rho)(n/k)) channels otherwise, where rho > 0 is an arbitrarily small constant. This is a super-polynomial improvement over the best known bounds [20]. Additionally we show that our results are significantly closer to the optimal solution by proving that Omega(n(Omega(1/k)) + log(k)n) channels are necessary to achieve a time complexity of O(k). (C) 2017 Elsevier Inc. All rights reserved.
引用
收藏
页码:84 / 103
页数:20
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