Segments in enumerating faces

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چکیده

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Segments in enumerating faces

We introduce the concept of a segment of a degenerate convex polytope specified by a system of linear constraints, and explain its importance in developing algorithms for enumerating the faces. Using segments, we describe an algorithm that enumerates all the faces, in time polynomial in their number. The role of segments in the unsolved problem of enumerating the extreme points of a convex poly...

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ژورنال

عنوان ژورنال: Mathematical Programming

سال: 1995

ISSN: 0025-5610,1436-4646

DOI: 10.1007/bf01585927