منابع مشابه
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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A graph is called a triangulated planar graph if it admits a plane embedding in the plane such that all inner faces are triangle. In a rooted triangulated planar graph, a vertex and two edges incident to it are designated as an outer vertex and outer edges, respectively. Two plane embedding of rooted triangulated planar graphs are defined to be equivalent if they admit an isomorphism such that ...
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We obtain improved bounds on the complexity of m distinct faces in an arrangement of n pseudo-segments, n circles, or n unit circles. The bounds are worst-case optimal for unit circles; they are also worst-case optimal for the case of pseudo-segments, except when the number of faces is very small, in which case our upper bound is a polylogarithmic factor from the best-known lower bound. For gen...
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ژورنال
عنوان ژورنال: Mathematical Programming
سال: 1995
ISSN: 0025-5610,1436-4646
DOI: 10.1007/bf01585927