Abstract
The Discrete 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 f x 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.
Research initiated at the 6th McGill - INRIA Barbados Workshop on Computational Geometry in Computer Graphics, 2007.
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Fellows, M. et al. (2010). Milling a Graph with Turn Costs: A Parameterized Complexity Perspective. In: Thilikos, D.M. (eds) Graph Theoretic Concepts in Computer Science. WG 2010. Lecture Notes in Computer Science, vol 6410. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-16926-7_13
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DOI: https://doi.org/10.1007/978-3-642-16926-7_13
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