Milling a graph with turn costs: a parameterized complexity perspective

  • Authors:
  • Mike Fellows;Panos Giannopoulos;Christian Knauer;Christophe Paul;Frances Rosamond;Sue Whitesides;Nathan Yu

  • Affiliations:
  • PCRU, Office of DVC Research, University of Newcastle, Australia;Institut für Informatik, Freie Universität Berlin, Berlin, Germany;Institut für Informatik, Universität Bayreuth, Bayreuth, Germany;NRS-LIRMM, Montpellier, France;PCRU, Office of DVC Research, University of Newcastle, Australia;Department of Computer Science, University of Victoria, Canada;-

  • Venue:
  • WG'10 Proceedings of the 36th international conference on Graph-theoretic concepts in computer science
  • Year:
  • 2010

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Abstract

The DISCRETTE MILLING problem is a natural and quite general 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.