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» On Integer Programming and the Branch-Width of the Constrain...
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IPCO
2007
87views Optimization» more  IPCO 2007»
13 years 6 months ago
On Integer Programming and the Branch-Width of the Constraint Matrix
Consider an integer program max(ct x : Ax = b, x ≥ 0, x ∈ Zn ) where A ∈ Zm×n , b ∈ Zm , and c ∈ Zn . We show that the integer program can be solved in pseudo-polynomial...
William H. Cunningham, Jim Geelen
CORR
2011
Springer
215views Education» more  CORR 2011»
12 years 8 months ago
Lasserre Hierarchy, Higher Eigenvalues, and Approximation Schemes for Quadratic Integer Programming with PSD Objectives
We present an approximation scheme for optimizing certain Quadratic Integer Programming problems with positive semidefinite objective functions and global linear constraints. Thi...
Venkatesan Guruswami, Ali Kemal Sinop
CONSTRAINTS
2011
12 years 8 months ago
CP and IP approaches to cancer radiotherapy delivery optimization
Abstract. We consider the problem of decomposing an integer matrix into a positively weighted sum of binary matrices that have the consecutive-ones property. This problem is well-k...
Davaatseren Baatar, Natashia Boland, Sebastian Bra...
SAC
2009
ACM
13 years 11 months ago
The sum-of-increments constraint in the consecutive-ones matrix decomposition problem
The combinatorial problem of decomposing an integer matrix into a small positive linear combination of binary matrices that have the consecutive-ones property arises in cancer rad...
Sebastian Brand
CORR
2011
Springer
220views Education» more  CORR 2011»
12 years 12 months ago
On a linear programming approach to the discrete Willmore boundary value problem and generalizations
We consider the problem of finding (possibly non connected) discrete surfaces spanning a finite set of discrete boundary curves in the three-dimensional space and minimizing (glo...
Thomas Schoenemann, Simon Masnou, Daniel Cremers