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Discrete Mathematics
Research area: Computer Science
All aspects of combinatorics and its relations with other parts of mathematics, computer science, physics and biology. In particular we have focused our interest on the following research guidelines:
General methods for the enumeration of combinatorial structures; algorithms for the random and exhaustive generation of combinatorial
objects; study of classes of combinatorial objects defined in terms of constraints: pattern avoiding permutations; pattern avoiding polyominoes; classes of polyominoes defined by convexity/connectivity constraint.
Theory of formal languages; in particular: two-dimensional languages, local languages, tiling system recognizable languages; combinatorics on words; shuffle languages.
Discrete Tomography: problems of unicity, consistency and reconstruction of discrete sets form their discrete projections along one or more directions.
ERC Keywords PE1_15 Discrete mathematics and combinatorics PE1_16 Mathematical aspects of computer science
