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EJC
2007
13 years 10 months ago
Proof of the oval conjecture for planar partition functions
We prove that the translation plane and the shift plane defined by a planar partition function form an oval pair of projective planes in the sense that the planes share a line pe...
Nils Rosehr
ISAAC
2007
Springer
158views Algorithms» more  ISAAC 2007»
14 years 4 months ago
On the Expressive Power of Planar Perfect Matching and Permanents of Bounded Treewidth Matrices
Valiant introduced some 25 years ago an algebraic model of computation along with the complexity classes VP and VNP, which can be viewed as analogues of the classical classes P and...
Uffe Flarup, Pascal Koiran, Laurent Lyaudet
INFORMATICALT
2006
80views more  INFORMATICALT 2006»
13 years 10 months ago
Scheduling Trajectories on a Planar Surface with Moving Obstacles
An algorithm for scheduling the trajectory of a point object, which moves on a plane surface comprising of moving obstacles, is introduced. Different quantitative criteria may be m...
Emmanuel Stefanakis
STOC
2009
ACM
171views Algorithms» more  STOC 2009»
14 years 10 months ago
On the geometry of graphs with a forbidden minor
We study the topological simplification of graphs via random embeddings, leading ultimately to a reduction of the Gupta-Newman-Rabinovich-Sinclair (GNRS) L1 embedding conjecture t...
James R. Lee, Anastasios Sidiropoulos
SSD
2007
Springer
107views Database» more  SSD 2007»
14 years 4 months ago
Spatial Partition Graphs: A Graph Theoretic Model of Maps
The notion of a map is a fundamental metaphor in spatial disciplines. However, there currently exist no adequate data models for maps that define a precise spatial data type for m...
Mark McKenney, Markus Schneider