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» Some Algorithmic Problems in Polytope Theory
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JMLR
2012
11 years 10 months ago
Message-Passing Algorithms for MAP Estimation Using DC Programming
We address the problem of finding the most likely assignment or MAP estimation in a Markov random field. We analyze the linear programming formulation of MAP through the lens of...
Akshat Kumar, Shlomo Zilberstein, Marc Toussaint
SODA
2012
ACM
196views Algorithms» more  SODA 2012»
11 years 10 months ago
Polytope approximation and the Mahler volume
The problem of approximating convex bodies by polytopes is an important and well studied problem. Given a convex body K in Rd , the objective is to minimize the number of vertices...
Sunil Arya, Guilherme Dias da Fonseca, David M. Mo...
COMPGEOM
2007
ACM
13 years 11 months ago
On the hardness of minkowski addition and related operations
For polytopes P, Q Rd we consider the intersection P Q; the convex hull of the union CH(P Q); and the Minkowski sum P + Q. We prove that given rational H-polytopes P1, P2, Q it...
Hans Raj Tiwary
ICALP
2004
Springer
14 years 25 days ago
Quantum Query Complexity of Some Graph Problems
Quantum algorithms for graph problems are considered, both in the adjacency matrix model and in an adjacency list-like array model. We give almost tight lower and upper bounds for ...
Christoph Dürr, Mark Heiligman, Peter H&oslas...
MP
2010
145views more  MP 2010»
13 years 5 months ago
The traveling salesman problem with pickup and delivery: polyhedral results and a branch-and-cut algorithm
The Traveling Salesman Problem with Pickup and Delivery (TSPPD) is defined on a graph containing pickup and delivery vertices between which there exists a one-toone relationship. ...
Irina Dumitrescu, Stefan Ropke, Jean-Franço...