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The k-Centrum Shortest Path Problem
Journal article   Peer reviewed

The k-Centrum Shortest Path Problem

Robert Garfinkel, Elena Fernandez and Timothy J. Lowe
TOP, Vol.14(2), pp.279-292
12/01/2006
DOI: 10.1007/BF02837564

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Abstract

The k-Centrum Shortest Path Problem (kCSP[s, t]) is to minimize the sum of the k longest arcs in any (simple) s-t path containing at least k arcs, where k is a positive integer. kCSP is introduced and is shown to be NP-Hard, although it is polynomially solvable if k is constrained to be no greater than the number of arcs in an s-t path with fewest arcs. Some properties of the problem are studied and a new weakly dual problem is also introduced.
Operations Research & Management Science Science & Technology Technology

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