Additive induced-hereditary properties and unique factorization

Mathematics – Combinatorics

Scientific paper

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16 pages, 4 figures, submitted to Combinatorica

Scientific paper

We show that additive induced-hereditary properties of coloured hypergraphs
can be uniquely factorised into irreducible factors. Our constructions and
proofs are so general that they can be used for arbitrary concrete categories
of combinatorial objects; we provide some examples of such combinatorial
objects.

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