Weakly-connected dominating sets and sparse spanners in wireless ad hoc networks

被引:0
|
作者
Alzoubi, KM [1 ]
Wan, PJ [1 ]
Frieder, O [1 ]
机构
[1] IIT, Dept Comp Sci, Chicago, IL 60616 USA
关键词
weakly-connected dominating set; maximal independent set; sparse spanner;
D O I
暂无
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
A set S is dominating if each node in the graph G = (V, E) is either in S or adjacent to at least one of the nodes in S. The subgraph weakly induced by S is the graph G' = (V, E') such that each edge in E' has at least one end point in S. The set S is a weakly-connected dominating set (WCDS) of G if S is dominating and G' is connected. G' is a sparse spanner if it has linear edges. In this paper, we present two distributed algorithms for finding a WCDS in O (n) time. The first algorithm has an approximation ratio of 5, and requires O (n log n) messages. The second algorithm has a larger approximation ratio, but it requires only O(n) messages. The graph G' generated by the second algorithm forms a sparse spanner with a topological dilation of 3, and a geometric dilation of 6.
引用
收藏
页码:96 / 104
页数:9
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