The complexity of the Pk partition problem and related problems in bipartite graphsReport as inadecuate




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1 LAMSADE - Laboratoire d-analyse et modélisation de systèmes pour l-aide à la décision 2 LIPN - Laboratoire d-Informatique de Paris-Nord

Abstract : In this paper, we continue the investigation made in MT05 about the approximability of Pk partition problems, but focusing here on their complexity. Precisely, we aim at designing the frontier between polynomial and NP-complete versions of the Pk partition problem in bipartite graphs, according to both the constant k and the maximum degree of the input graph. We actually extend the obtained results to more general classes of problems, namely, the minimum k-path partition problem and the maximum Pk packing problem. Moreover, we propose some simple approximation algorithms for those problems.

Keywords : Pk-partition maximum weighted Pk-packing minimum k-path partition bipartite graphs NP-completeness approximation algorithms





Author: Jérôme Monnot - Sophie Toulouse -

Source: https://hal.archives-ouvertes.fr/



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