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arXiv · 1705.00145

Replica Placement on Bounded Treewidth Graphs

Anshul Aggarwal·Venkatesan T. Chakaravarthy·Neelima Gupta·Yogish Sabharwal·Sachin Sharma·Sonika Thakral
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Abstract

We consider the replica placement problem: given a graph with clients and nodes, place replicas on a minimum set of nodes to serve all the clients; each client is associated with a request and maximum distance that it can travel to get served and there is a maximum limit (capacity) on the amount of request a replica can serve. The problem falls under the general framework of capacitated set covering. It admits an O(\log n)-approximation and it is NP-hard to approximate within a factor of $o(\log n)$. We study the problem in terms of the treewidth $t$ of the graph and present an O(t)-approximation algorithm.

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Anshul Aggarwal, Venkatesan T. Chakaravarthy, Neelima Gupta, Yogish Sabharwal, Sachin Sharma, Sonika Thakral. 2017-04-29. Replica Placement on Bounded Treewidth Graphs. https://arxiv.org/abs/1705.00145

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