On the ratio between maximum weight perfect matchings and maximum weight matchings in grids
- Fonseca, Guilherme D. da Université d’Auvergne and LIMOS, France
- Ries, Bernard University of Fribourg, Fribourg, Switzerland
- Sasaki, Diana Université Paris-Dauphine, Paris, France
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10.07.2016
Published in:
- Discrete Applied Mathematics. - 2016, vol. 207, p. 45–55
English
Given a graph G that admits a perfect matching, we investigate the parameter η(G) (originally motivated by computer graphics applications) which is defined as follows. Among all nonnegative edge weight assignments, η(G) is the minimum ratio between (i) the maximum weight of a perfect matching and (ii) the maximum weight of a general matching. In this paper, we determine the exact value of η for all rectangular grids, all bipartite cylindrical grids, and all bipartite toroidal grids. We introduce several new techniques to this endeavor.
- Faculty
- Faculté des sciences économiques et sociales et du management
- Department
- Département d'informatique
- Language
-
- English
- Classification
- Mathematics
- License
- License undefined
- Identifiers
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- RERO DOC 277378
- DOI 10.1016/j.dam.2016.02.017
- Persistent URL
- https://folia.unifr.ch/unifr/documents/305036
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