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» An Algebra of Pareto Points
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JCT
2007
122views more  JCT 2007»
13 years 9 months ago
h-Vectors of Gorenstein polytopes
We show that the Ehrhart h-vector of an integer Gorenstein polytope with a unimodular triangulation satisfies McMullen’s g-theorem; in particular it is unimodal. This result gen...
Winfried Bruns, Tim Römer
FOCM
2002
108views more  FOCM 2002»
13 years 9 months ago
Geometric Integration Algorithms on Homogeneous Manifolds
Given an ordinary differential equation on a homogeneous manifold, one can construct a "geometric integrator" by determining a compatible ordinary differential equation ...
Debra Lewis, Peter J. Olver
SIAMDM
2000
103views more  SIAMDM 2000»
13 years 9 months ago
Directional Routing via Generalized st-Numberings
We present a mathematical model for network routing based on generating paths in a consistent direction. Our development is based on an algebraic and geometric framework for defini...
Fred S. Annexstein, Kenneth A. Berman
CGF
1998
104views more  CGF 1998»
13 years 9 months ago
Animation of Biological Organ Growth Based on L-systems
In contrast with the growth of plants and trees, human organs can undergo signi cant changes in shape through a variety of global transformations during the growth period, such as...
Roman Durikovic, Kazufumi Kaneda, Hideo Yamashita
PPDP
2010
Springer
13 years 8 months ago
Deriving predicate statistics in datalog
Database query optimizers rely on data statistics in selecting query execution plans. Similar query optimization techniques are desirable for deductive databases and, to make this...
Senlin Liang, Michael Kifer