In this article we continue our study on the complexity of Path Covering Problems started in [2]. Here, taking one further step, we investigate the complexity of the problem on grids. For special classes of grids (general grids, grids with a fixed number of rows, ladders), and several special unweighted path collections (general paths, paths of length 2, L-shaped paths, pipes, hooks, staples) we either give polynomial-time algorithms or prove NP-completeness results

Cardinality constrained path covering problems in grid graphs

Apollonio N;
2004

Abstract

In this article we continue our study on the complexity of Path Covering Problems started in [2]. Here, taking one further step, we investigate the complexity of the problem on grids. For special classes of grids (general grids, grids with a fixed number of rows, ladders), and several special unweighted path collections (general paths, paths of length 2, L-shaped paths, pipes, hooks, staples) we either give polynomial-time algorithms or prove NP-completeness results
2004
Istituto Applicazioni del Calcolo ''Mauro Picone''
graphs; grids; path covering; algorithms; complexity
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14243/453469
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