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Conference papers

Generation modulo the action of a permutation group

Abstract : Originally motivated by algebraic invariant theory, we present an algorithm to enumerate integer vectors modulo the action of a permutation group. This problem generalizes the generation of unlabeled graph up to an isomorphism. In this paper, we present the full development of a generation engine by describing the related theory, establishing a mathematical and practical complexity, and exposing some benchmarks. We next show two applications to effective invariant theory and effective Galois theory.
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Submitted on : Tuesday, November 17, 2015 - 10:19:26 AM
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Nicolas Borie. Generation modulo the action of a permutation group. 25th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2013), 2013, Paris, France. pp.767-778, ⟨10.46298/dmtcs.2341⟩. ⟨hal-01229658⟩



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