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» Enumerating split-pair arrangements
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COMPGEOM
1991
ACM
13 years 8 months ago
A Pivoting Algorithm for Convex Hulls and Vertex Enumeration of Arrangements and Polyhedra
We present a new pivot-based algorithm which can be used with minor modification for the enumeration of the facets of the convex hull of a set of points, or for the enumeration o...
David Avis, Komei Fukuda
JCT
2008
61views more  JCT 2008»
13 years 4 months ago
Enumerating split-pair arrangements
An arrangement of the multi-set {1, 1, 2, 2, . . . , n, n} is said to be "split-pair"
Ronald L. Graham, Nan Zang
CCCG
2001
13 years 6 months ago
Complete combinatorial generation of small point configurations and hyperplane arrangements
A recent progress on the complete enumeration of oriented matroids enables us to generate all combinatorial types of small point configurations and hyperplane arrangements in gene...
Lukas Finschi, Komei Fukuda
CORR
2010
Springer
83views Education» more  CORR 2010»
13 years 3 months ago
Multitriangulations, pseudotriangulations and primitive sorting networks
We study the set of all pseudoline arrangements with contact points which cover a given support. We define a notion of flip which transforms a pseudoline arrangement with contact...
Vincent Pilaud, Michel Pocchiola
WADS
2007
Springer
113views Algorithms» more  WADS 2007»
13 years 11 months ago
On Computing the Centroid of the Vertices of an Arrangement and Related Problems
We consider the problem of computing the centroid of all the vertices in a non-degenerate arrangement of n lines. The trivial approach requires the enumeration of all `n 2 ´ verti...
Deepak Ajwani, Saurabh Ray, Raimund Seidel, Hans R...