Optimal cuts and partitions in tree metrics in polynomial time

We present a polynomial time dynamic programming algorithm for optimal partitions in the shortest path metric induced by a tree. This resolves, among other things, the exact complexity status of the optimal partition problems in one-dimensional geometric metric settings. Our method of solution could...

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Bibliographic Details
Published in:	Information processing letters Vol. 113; no. 12; pp. 447 - 451
Main Authors:	Karpinski, Marek, Lingas, Andrzej, Sledneu, Dzmitry
Format:	Journal Article
Language:	English
Published:	Amsterdam Elsevier B.V 30.06.2013 Elsevier Sequoia S.A
Subjects:	Algorithms Computational complexity Computer and Information Sciences Computer science Computer Sciences Data processing Data- och informationsvetenskap (Datateknik) Datavetenskap (Datalogi) Dynamic programming Geometric metric Geometry Graph theory Graphs Matematik Mathematical Sciences Natural Sciences Naturvetenskap Optimal bisection Optimal cut Optimization Partitions Polynomial time Polynomials Shortest path algorithms Shortest-path problems Studies Tree metric Trees Optimal bisection Tree metric Optimal cut Computational complexity Geometric metric Polynomial time
ISSN:	0020-0190, 1872-6119
Online Access:	Get full text
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