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Milling a Graph with Turn Costs: a Parameterized Complexity Perspective
Acte de colloque   Open Access

Milling a Graph with Turn Costs: a Parameterized Complexity Perspective

Micheal Fellows, Panos Giannopoulos, Christian Knauer, Christophe Paul, Fran Rosamond, Sue Whitesides et Nathan Yu
LNCS, Vol.6410, pp.123-134
LNCS
WG 2010 - 36th International Workshop on Graph-Theoretic Concepts in Computer Science (Zarós, Greece, 28/06/2010–30/06/2010)
2010

Résumé

Grid Graph Directed Walk Free Pair Monochromatic Path Decomposable Graph
The Discrete Milling problem is a natural and quite gen- eral graph-theoretic model for geometric milling problems: Given a graph, one asks for a walk that covers all its vertices with a minimum number of turns, as specified in the graph model by a 0/1 turncost function fx at each vertex x giving, for each ordered pair of edges (e, f ) incident at x, the turn cost at x of a walk that enters the vertex on edge e and departs on edge f . We describe an initial study of the parameterized complexity of the problem.

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