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» Acute Triangulations of Polygons
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WADS
2009
Springer
243views Algorithms» more  WADS 2009»
14 years 2 months ago
Resolving Loads with Positive Interior Stresses
We consider the pair (pi, fi) as a force with two-dimensional direction vector fi applied at the point pi in the plane. For a given set of forces we ask for a non-crossing geometri...
Günter Rote, André Schulz
IPPS
1994
IEEE
13 years 11 months ago
Efficient Matrix Chain Ordering in Polylog Time
The matrix chain ordering problem is to find the cheapest way to multiply a chain of n matrices, where the matrices are pairwise compatible but of varying dimensions. Here we give ...
Phillip G. Bradford, Gregory J. E. Rawlins, Gregor...
CORR
2008
Springer
111views Education» more  CORR 2008»
13 years 7 months ago
Linear-Time Algorithms for Geometric Graphs with Sublinearly Many Crossings
We provide linear-time algorithms for geometric graphs with sublinearly many crossings. That is, we provide algorithms running in O(n) time on connected geometric graphs having n ...
David Eppstein, Michael T. Goodrich, Darren Strash
DCG
2007
102views more  DCG 2007»
13 years 7 months ago
How to Exhibit Toroidal Maps in Space
Steinitz’s Theorem states that a graph is the 1-skeleton of a convex polyhedron if and only if it is 3-connected and planar. The polyhedron is called a geometric realization of ...
Dan Archdeacon, C. Paul Bonnington, Joanna A. Elli...
PPL
2006
93views more  PPL 2006»
13 years 7 months ago
Inherently Parallel Geometric Computations
A new computational paradigm is described which o ers the possibility of superlinear and sometimes unbounded speedup, when parallel computation is used. The computations involved ...
Selim G. Akl