A Fixed Parameter Algorithm for the Minimum Number Convex Partition Problem
نویسندگان
چکیده
Given an input consisting of an n-vertex convex polygon with k hole vertices or an n-vertex planar straight line graph (PSLG) with k holes and/or reflex vertices inside the convex hull, the parameterized minimum number convex partition (MNCP) problem asks for a partition into a minimum number of convex pieces. We give a fixedparameter tractable algorithm for this problem that runs in the following time complexities: – linear time if k is constant, – time polynomial in n if k = O( log n log log n ), or, to be exact, in O(n · k · 2) time.
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