An optimal algorithm for tree geometrical k-cut problem

Authors:
Sang-Young Cho;Hee-Chul Kim
Affiliations:
Hankuk University of Foreign Studies, Computer Science and Engineering Department, Yongin, Kyeonggi, Korea;Hankuk University of Foreign Studies, Computer Science and Engineering Department, Yongin, Kyeonggi, Korea
Venue:
MACMESE'08 Proceedings of the 10th WSEAS international conference on Mathematical and computational methods in science and engineering
Year:
2008

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Abstract

Geometrical k-cut problem has numerous applications, particularly in clustering-related setups such as task assignment and VLSI cell placement. This problem is NP-hard in general. We propose an optimal algorithm to solve the problem for tree topology graphs in polynomial time. The time complexity of the algorithm is O(kn3), where n is the number of nodes in a k-terminal graph, with the Goldberg-Tarjan's network flow algorithm.