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» Sherali-adams relaxations of the matching polytope
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STOC
2009
ACM
98views Algorithms» more  STOC 2009»
14 years 8 months ago
Sherali-adams relaxations of the matching polytope
We study the Sherali-Adams lift-and-project hierarchy of linear programming relaxations of the matching polytope. Our main result is an asymptotically tight expression 1 + 1/k for...
Claire Mathieu, Alistair Sinclair
SODA
2010
ACM
216views Algorithms» more  SODA 2010»
14 years 5 months ago
On linear and semidefinite programming relaxations for hypergraph matching
The hypergraph matching problem is to find a largest collection of disjoint hyperedges in a hypergraph. This is a well-studied problem in combinatorial optimization and graph theo...
Yuk Hei Chan, Lap Chi Lau
DAM
2004
63views more  DAM 2004»
13 years 7 months ago
Lift and project relaxations for the matching and related polytopes
Néstor E. Aguilera, Silvia M. Bianchi, Grac...
ESA
2004
Springer
132views Algorithms» more  ESA 2004»
14 years 1 months ago
Seeking a Vertex of the Planar Matching Polytope in NC
For planar graphs, counting the number of perfect matchings (and hence determining whether there exists a perfect matching) can be done in NC [4, 10]. For planar bipartite graphs, ...
Raghav Kulkarni, Meena Mahajan
MP
2010
163views more  MP 2010»
13 years 2 months ago
Speeding up IP-based algorithms for constrained quadratic 0-1 optimization
In many practical applications, the task is to optimize a non-linear objective function over the vertices of a well-studied polytope as, e.g., the matching polytope or the travelli...
Christoph Buchheim, Frauke Liers, Marcus Oswald