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» On the Diameter of Lattice Polytopes
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CORR
2011
Springer
180views Education» more  CORR 2011»
14 years 4 months ago
Commutative Algebra of Statistical Ranking
A model for statistical ranking is a family of probability distributions whose states are orderings of a xed nite set of items. We represent the orderings as maximal chains in a ...
Bernd Sturmfels, Volkmar Welker
DCG
2008
82views more  DCG 2008»
14 years 9 months ago
Schnyder Woods and Orthogonal Surfaces
In this paper we study connections between planar graphs, Schnyder woods, and orthogonal surfaces. Schnyder woods and the face counting approach have important applications in gra...
Stefan Felsner, Florian Zickfeld
ESA
2003
Springer
96views Algorithms» more  ESA 2003»
15 years 2 months ago
Streaming Geometric Optimization Using Graphics Hardware
In this paper we propose algorithms for solving a variety of geometric optimization problems on a stream of points in R2 or R3 . These problems include various extent measures (e.g...
Pankaj K. Agarwal, Shankar Krishnan, Nabil H. Must...
PODC
2004
ACM
15 years 3 months ago
Analyzing Kleinberg's (and other) small-world Models
We analyze the properties of Small-World networks, where links are much more likely to connect “neighbor nodes” than distant nodes. In particular, our analysis provides new re...
Charles U. Martel, Van Nguyen
COCOON
1999
Springer
15 years 1 months ago
On Routing in Circulant Graphs
We investigate various problems related to circulant graphs – finding the shortest path between two vertices, finding the shortest loop, and computing the diameter. These probl...
Jin-yi Cai, George Havas, Bernard Mans, Ajay Nerur...