Discrete Volume Polyhedrization is Srongly NP-Hard
نویسنده
چکیده
Given a set M ⊂ Z, an enclosing polyhedron for M is any polyhedron P such that the set of integer points contained in P is precisely M . Representing a discrete volume by enclosing polyhedron is a fundamental problem in visualization. In this paper we propose the first proof of the long-standing conjecture that the problem of finding an enclosing polyhedron with a minimal number of 2-facets is strongly NP-hard and provide a lower bound for that number.
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تاریخ انتشار 2006