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Hermes: an efficient algorithm for building Galois sub-hierarchies
Acte de colloque   Open Access

Hermes: an efficient algorithm for building Galois sub-hierarchies

Anne Berry, Marianne Huchard, Amedeo Napoli et Alain Sigayret
9th International Conference on Concept Lattices and Applications, pp.21-32
CLA: Concept Lattices and their Applications (Fuengirola, Málaga, Spain, 11/10/2012–14/10/2012)
14/10/2012

Résumé

Concept lattice AOC-concept poset algorithm Galois Sub-Hierarchy Galois lattice
Given a binary relation R on a set O of objects and a set A of attributes, the Galois sub-hierarchy (also called AOC-poset) is the partial order on the introducers of objects and attributes in the corresponding concept lattice. We present a new efficient algorithm for building a Galois sub-hierarchy which runs in O(min{nm, n ^{\alpha}}), where n is the number of objects or attributes, m is the size of the relation, and n ^{\alpha} is the time required to perform matrix multiplication (currently \alpha = 2.376).

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