http://www.cnr.it/ontology/cnr/individuo/prodotto/ID7059
A compact linear program for testing optimality of perfect matching (Articolo in rivista)
- Type
- Label
- A compact linear program for testing optimality of perfect matching (Articolo in rivista) (literal)
- Anno
- 2003-01-01T00:00:00+01:00 (literal)
- Alternative label
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
- Ventura, P.; Eisenbrand, F. (literal)
- Pagina inizio
- Pagina fine
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
- Rivista
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#note
- Ventura, P.: Istituto di Analisi dei Sistemi ed Informatica \"A. Ruberti\" - CNR -- Eisenbrand, F.: Max Plank Institut fuer Informatik, Saarbrucken, Germany (literal)
- Note
- ISI Web of Science (WOS) (literal)
- Titolo
- A compact linear program for testing optimality of perfect matching (literal)
- Abstract
- It is a longstanding
open problem whether there exists a polynomial size description
of the perfect matching polytope.
We give a partial answer to this question by proving
the following result. The polyhedron defined by the constraints of
the perfect matching polytope which are active at a given perfect
matching can be obtained as the projection of a compact polyhedron.
Thus there exists a compact linear program which is
unbounded if and only if the perfect matching is not optimal with
respect to a given edge weight. This result provides a simple
reduction of the maximum weight perfect matching problem to compact
linear programming.
(literal)
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