@InProceedings{10.1007/978-3-319-62127-2_2, author="Aggarwal, Anshul and Chakaravarthy, Venkatesan T. and Gupta, Neelima and Sabharwal, Yogish and Sharma, Sachin and Thakral, Sonika", editor="Ellen, Faith and Kolokolova, Antonina and Sack, J{\"o}rg-R{\"u}diger", title="Replica Placement on Bounded Treewidth Graphs", booktitle="Algorithms and Data Structures", year="2017", publisher="Springer International Publishing", address="Cham", pages="13--24", abstract="We consider the replica placement problem: given a graph and a set of clients, place replicas on a minimum set of nodes of the graph to serve all the clients; each client is associated with a request and maximum distance that it can travel to get served; 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 cover. It admits an {\$}{\$}O({\backslash}log n){\$}{\$} -approximation and it is NP-hard to approximate within a factor of {\$}{\$}o({\backslash}log n){\$}{\$} . We study the problem in terms of the treewidth t of the graph and present an O(t)-approximation algorithm.", isbn="978-3-319-62127-2" }