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Associativity and non-associativity of some hypergraph products

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.
Journal: 
Mathematics in Computer Science
Publication Date: 
01 Sep 2016
Citation: 
[HHO+16] Hammack, R.H., Hellmuth, M., Ostermeier, L. and Stadler, P.F.: Associativity and non-associativity of some hypergraph products. Mathematics in Computer Science, 10(3), 403-408, 2016
Researchers: 

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