Arboricity: An acyclic hypergraph decomposition problem motivated by database theory

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Arboricity: An acyclic hypergraph decomposition problem motivated by database theory

The arboricity of a hypergraph H is the minimum number of acyclic hypergraphs that partition H . The determination of the arboricity of hypergraphs is a problem motivated by database theory. The exact arboricity of the complete k-uniform hypergraph of order n is previously known only for k ∈ {1, 2, n − 2, n − 1, n}. The arboricity of the complete k-uniform hypergraph of order n is determined as...

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ژورنال

عنوان ژورنال: Discrete Applied Mathematics

سال: 2012

ISSN: 0166-218X

DOI: 10.1016/j.dam.2011.08.024