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Hard  data_clique_40.dimacs

Problem typegraphpart
DescriptionQuadratic model for graph partitioning instance data_clique_40.dimacs
Objective sensemin
Variables121  (120 binary, 0 general integer, 1 continuous)
Nonlinear variables1
Nonlinear constraints1
Linear nonzeros81
Nonlinear nonzeros2341
Download data_clique_40.dimacs.pip.gz data_clique_40.dimacs.gms.gz data_clique_40.dimacs.mod.gz data_clique_40.dimacs.zpl.gz
Best known solution
Best known objective1183
Best known bound1183
OriginatorBissan Ghaddar, Miguel Anjos, and Frauke Liers
FormulatorMarc Pfetsch
DonatorMarc Pfetsch
References GhaddarAnjosLiers09
Additional informationThis is a quadratic model for the graph partitioning problem. The graphs are taken from the publication of Ghaddar et al. We used 3 parts of the partition to generate the quadratic instances. The model assigns each node to one of the three parts. Hence, the model is symmetric, which should probably be used in a solution algorithm.

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