Replica Placement on Bounded Treewidth Graphs

Autor: Aggarwal, Anshul, Chakaravarthy, Venkatesan T., Gupta, Neelima, Sabharwal, Yogish, Sharma, Sachin, Thakral, Sonika
Rok vydání: 2017
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Comment: An abridged version of this paper is to appear in the proceedings of WADS'17
Databáze: arXiv