Research Topic: Fundamental and Applied Aspects of Discrete Optimization
My scientific work is mainly located in the area of Discrete Optimization.
To develop efficient methods for solving discrete optimization problems,
knowledge on the structure of the underlying graphs and associated polyhedra
is often required. My research focuses on
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discrete structures
(graphs, hypergraphs, set systems, orders)
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algorithmic graph theory
(stable sets, colorings, identifying codes, network flows)
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polyhedral combinatorics
(stable set polytope and its relaxations, chromatic scheduling polytopes, covering polyhedra)
and applications in
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systems biology
(reconstruction of regulatory networks, analysis of complex dynamic systems)
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transportion systems
(innovative transportation systems using fully or semi-autonomous cars)
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telecommunication
(frequency assignment in point-to-multipoint radio access systems)
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Perfect graphs and beyond
in collaboration with A. Pecher (LaBRI Bordeaux), F. Bonomo, G. Duran and M.D. Safe (Buenos Aires)
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Polyhedra related to packing, covering and domination
ECOS-Sud project (ECOS A12E01) in collaboration with A. Pecher (LaBRI Bordeaux) and G. Argiroffo, S.M. Bianchi (Universidad Nacional Rosario, Argentina)
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Packing versus Covering: Structural Aspects
MATH-AmSud project in collaboration with A. Pecher (LaBRI Bordeaux), G. Argiroffo, S.M. Bianchi, G. Nasini (Universidad Nacional Rosario, Argentina), and L.M. Torres (EPN Quito, Ecuador)
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Automatic Network Reconstruction in collaboration with W. Marwan Magdeburg Centre for Systems Biology (MaCS, Germany)
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Relocation for carsharing using semi-autonomous cars
project within the LaBEX ``Mobilite Innovante'' (IMOBS3), Clermont-Ferrand
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Management of a fleet of VIPAs (VIPAFLEET)
project within ViaMeca (Pole de competitivite mecanique), Clermont-Ferrand