A New Algorithm for p-Collection Problem on a Tree-Type Flow Network
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概要
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For given integer p, a flow network N with n vertices, and sources in N, a problem of finding location of p sinks in N which maximize the value of maximum flow from sources to sinks is called p-collection problem. This problem is NP-hard even if a given network is a tree, but a pseudo-polynomial time algorithm is possible for such a network. This paper proposes a new pseudo-polynomial time algorithm for a tree-type network,which is simpler and more efficient than the previous algorithm, and has time complexity of O(p^2n^2C_c・min{C_c,C_d}), where C_c and C_d are the maximum edge capacity and the maximum vertex weight, respectively.
- 社団法人電子情報通信学会の論文
- 1998-01-25
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