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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 5 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 2 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 4 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»
13 years 10 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»
12 years 11 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