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DCG
2010
71views more  DCG 2010»
13 years 10 months ago
A Characterization of the Angle Defect and the Euler Characteristic in Dimension 2
The angle defect, which is the standard way to measure the curvatures at the vertices of polyhedral surfaces, goes back at least as far as Descartes. Although the angle defect has ...
Ethan D. Bloch
EJC
2007
13 years 9 months ago
Link complexes of subspace arrangements
Abstract. Given a simplicial hyperplane arrangement H and a subspace arrangement A embedded in H, we define a simplicial complex ∆A,H as the subdivision of the link of A induced...
Axel Hultman
CCCG
2009
13 years 7 months ago
On symmetric realizations of the simplicial complex of 3-crossing-free sets of diagonals of the octagon
Motivated by the question of the polytopal realizability of the simplicial complex n,k of (k + 1)-crossing-free sets of diagonals of the convex n-gon, we study the first open case...
Jürgen Bokowski, Vincent Pilaud
CORR
2010
Springer
65views Education» more  CORR 2010»
13 years 7 months ago
A Note on Solid Coloring of Pure Simplicial Complexes
We establish a simple generalization of a known result in the plane. The simplices in any pure simplicial complex in Rd may be colored with d+1 colors so that no two simplices tha...
Joseph O'Rourke
STOC
1996
ACM
197views Algorithms» more  STOC 1996»
14 years 1 months ago
Computing Betti Numbers via Combinatorial Laplacians
We use the Laplacian and power method to compute Betti numbers of simplicial complexes. This has a number of advantages over other methods, both in theory and in practice. It requ...
Joel Friedman