Valid Inequalities for the Maximal Matching Polytope

Date

2019-12-01

Author

Tural, Mustafa Kemal

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Given a graph G=(V,E), a subset M of E is called a matching if no two edges in M are adjacent. A matching is said to be maximal if it is not a proper subset of any other matching. The maximal matching polytope associated with graph G is the convex hull of the incidence vectors of maximal matchings in G. In this paper, we introduce new classes of valid inequalities for the maximal matching polytope.

Subject Keywords

Matching, Maximal matching polytope, Matching polytope, Valid inequalities, Maximal matching, Eşleme, Maksimal eşleme politopu, Eşleme politopu, Geçerli eşitsizlikler, Maksimal Eşleme

URI

https://hdl.handle.net/11511/57995

Journal

Adıyaman University Journal of Science

DOI

https://doi.org/10.37094/adyujsci.540858

Collections

Department of Industrial Engineering, Article

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Citation Formats

M. K. Tural, “Valid Inequalities for the Maximal Matching Polytope,” Adıyaman University Journal of Science, pp. 374–385, 2019, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/57995.