|
For Full-Text PDF, please login, if you are a member of IEICE,
or go to Pay Per View on menu list, if you are a nonmember of IEICE.
|
The Problem of where to Locate p-Sinks in a Flow Network: Complexity Approach
Kaoru WATANABE Hiroshi TAMURA Masakazu SENGOKU
Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Vol.E79-A
No.9
pp.1495-1503 Publication Date: 1996/09/25 Online ISSN:
DOI: Print ISSN: 0916-8508 Type of Manuscript: PAPER Category: Graphs and Networks Keyword: location problem, flow network, NP-complete, optimization problem,
Full Text: PDF>>
Summary:
The p-collection problem is where to locate p sinks in a flow network such that the value of a maximum flow is maximum. In this paper we show complexity results of the p-collection problem. We prove that the decision problem corresponding to the p-collection problem is strongly NP-complete. Although location problems (the p-center problem and the p-median problem) in networks and flow networks with tree structure is solvable in polynomial time, we prove that the decision problem of the p-collection problem in networks with tree structure, is weakly NP-complete. And we show a polynomial time algorithm for the subproblem of the p-collection problem such that the degree sum of vertices with degree 3 in a network, is bound to some constant K 0.
|
|
|