InforLorV4, Main, Exploration, bibRecord, 001902

Hermes: an efficient algorithm for building Galois sub-hierarchies

Identifieur interne : 001902 ( Main/Exploration ); précédent : 001901; suivant : 001903

Hermes: an efficient algorithm for building Galois sub-hierarchies

Auteurs : Anne Berry [France] ; Marianne Huchard [France] ; Amedeo Napoli [France] ; Alain Sigayret [France]

Source :

RBID : Hal:lirmm-00743882

Descripteurs français

mix :
- AOC-concept poset, Concept lattice, Galois Sub-Hierarchy, Galois lattice, algorithm.

Abstract

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).

Url:

http://hal-lirmm.ccsd.cnrs.fr/lirmm-00743882

Affiliations:

Links toward previous steps (curation, corpus...)

to stream Hal, to step Corpus: 002765
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Le document en format XML

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<front><div type="abstract" xml:lang="en">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).</div>
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Hermes: an efficient algorithm for building Galois sub-hierarchies

Hermes: an efficient algorithm for building Galois sub-hierarchies

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