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» Eliminating Cycles in the Discrete Torus
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ALGORITHMICA
2008
56views more  ALGORITHMICA 2008»
13 years 5 months ago
Eliminating Cycles in the Discrete Torus
In this paper we consider the following question: how many vertices of the discrete torus must be deleted so that no topologically nontrivial cycles remain? We look at two differe...
Béla Bollobás, Guy Kindler, Imre Lea...
SIAMDM
2010
105views more  SIAMDM 2010»
13 years 23 hour ago
The Brunn--Minkowski Inequality and Nontrivial Cycles in the Discrete Torus
Let (Cd m) denote the graph whose set of vertices is Zd m in which two distinct vertices are adjacent iff in each coordinate either they are equal or they differ, modulo m, by at
Noga Alon, Ohad N. Feldheim
CORR
2007
Springer
130views Education» more  CORR 2007»
13 years 5 months ago
Lagrangian Relaxation for MAP Estimation in Graphical Models
Abstract— We develop a general framework for MAP estimation in discrete and Gaussian graphical models using Lagrangian relaxation techniques. The key idea is to reformulate an in...
Jason K. Johnson, Dmitry M. Malioutov, Alan S. Wil...