Title: A Survey on Hypergraph Products (Erratum),
Abstract: A surprising diversity of different products of hypergraphs have been
discussed in the literature. Most of the hypergraph products can be viewed as
generalizations of one of the four standard graph products. The most widely
studied variant, the so-called square product, does not have this property,
however. Here we survey the literature on hypergraph products with an emphasis
on comparing the alternative generalizations of graph products and the
relationships among them. In this context the so-called 2-sections and
L2-sections are considered. These constructions are closely linked to related
colored graph structures that seem to be a useful tool for the prime factor
decompositions w.r.t.\ specific hypergraph products. We summarize the current
knowledge on the propagation of hypergraph invariants under the different
hypergraph multiplications. While the overwhelming majority of the material
concerns finite (undirected) hypergraphs, the survey also covers a summary of
the few results on products of infinite and directed hypergraphs.