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STOC
2010
ACM
185views Algorithms» more  STOC 2010»
14 years 2 months ago
Optimal Homologous Cycles, Total Unimodularity, and Linear Programming
Tamal K. Dey, Anil N. Hirani and Bala Krishnamoort...
ESA
2006
Springer
131views Algorithms» more  ESA 2006»
13 years 8 months ago
Finding Total Unimodularity in Optimization Problems Solved by Linear Programs
A popular approach in combinatorial optimization is to model problems as integer linear programs. Ideally, the relaxed linear program would have only integer solutions, which happ...
Christoph Dürr, Mathilde Hurand
NETWORKS
2006
13 years 4 months ago
A bidirected generalization of network matrices
We define binet matrices, which furnish a direct generalization of totally unimodular network matrices and arise from the node-edge incidence matrices of bidirected graphs in the ...
Gautam Appa, Balázs Kotnyek
SODA
2000
ACM
120views Algorithms» more  SODA 2000»
13 years 6 months ago
Minimum ratio canceling is oracle polynomial for linear programming, but not strongly polynomial, even for networks
This paper shows that the minimum ratio canceling algorithm of Wallacher (1989) (and a faster relaxed version) can be generalized to an algorithm for general linear programs with ...
S. Thomas McCormick, Akiyoshi Shioura
CORR
2011
Springer
220views Education» more  CORR 2011»
12 years 11 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