Dynamic Bottleneck Optimization for 2-Vertex and Strong Connectivity
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چکیده
On a complete weighted graph that changes dynamically by edge weight updates, we consider the problem of maintaining efficiently a minimum value b, such that the set of edges with weights less than b induces a 2-vertex connected graph (in the undirected case) and a strongly connected graph (in the directed case) on the same vertex set. These problems find application in minimizing power consumption of wireless networks. We design a dynamic algorithm of O(nα(n) log n) complexity per edge weight update for the first problem, and a dynamic algorithm for the second one, whose experimental analysis shows its appropriateness for use in practice.
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تاریخ انتشار 2005