English

Additive induced-hereditary properties and unique factorization

Combinatorics 2007-05-23 v1

Abstract

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.

Keywords

Cite

@article{arxiv.math/0306166,
  title  = {Additive induced-hereditary properties and unique factorization},
  author = {Grzegorz Arkit and Alastair Farrugia and Peter Mihók and Gabriel Semanišin and Roman Vasky},
  journal= {arXiv preprint arXiv:math/0306166},
  year   = {2007}
}

Comments

16 pages, 4 figures, submitted to Combinatorica