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» Enumerating Triangulations of Convex Polytopes
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DCG
2008
90views more  DCG 2008»
13 years 6 months ago
Enumeration in Convex Geometries and Associated Polytopal Subdivisions of Spheres
We construct CW spheres from the lattices that arise as the closed sets of a convex closure, the meet-distributive lattices. These spheres are nearly polytopal, in the sense that t...
Louis J. Billera, Samuel K. Hsiao, J. Scott Provan
ALENEX
2007
126views Algorithms» more  ALENEX 2007»
13 years 8 months ago
0/1 Vertex and Facet Enumeration with BDDs
In polyhedral studies of 0/1 polytopes two prominent problems exist. One is the vertex enumeration problem: Given a system of inequalities, enumerate its feasible 0/1 points. Anot...
Markus Behle, Friedrich Eisenbrand
SIAMDM
2011
13 years 1 months ago
Root Polytopes and Growth Series of Root Lattices
The convex hull of the roots of a classical root lattice is called a root polytope. We determine explicit unimodular triangulations of the boundaries of the root polytopes associat...
Federico Ardila, Matthias Beck, Serkan Hosten, Jul...
MOC
2010
13 years 1 months ago
Optimizing the double description method for normal surface enumeration
Abstract. Many key algorithms in 3-manifold topology involve the enumeration of normal surfaces, which is based upon the double description method for finding the vertices of a con...
Benjamin A. Burton
STOC
2003
ACM
153views Algorithms» more  STOC 2003»
14 years 7 months ago
Sublinear geometric algorithms
We initiate an investigation of sublinear algorithms for geometric problems in two and three dimensions. We give optimal algorithms for intersection detection of convex polygons a...
Bernard Chazelle, Ding Liu, Avner Magen