Associativity and non-associativity of some hypergraph products
Combinatorics
2015-11-24 v1
Abstract
Several variants of hypergraph products have been introduced as generalizations of the strong and direct products of graphs. Here we show that only some of them are associative. In addition to the Cartesian product, these are the minimal rank preserving direct product, and the normal product. Counter-examples are given for the strong product as well as the non-rank-preserving and the maximal rank preserving direct product.
Keywords
Cite
@article{arxiv.1511.07162,
title = {Associativity and non-associativity of some hypergraph products},
author = {Richard H. Hammack and Marc Hellmuth and Lydia Ostermeier and Peter F. Stadler},
journal= {arXiv preprint arXiv:1511.07162},
year = {2015}
}