A.A. Zykov. Hypergraphs. Uspeki Mat. Nauk, 6:89-154, 1974.  Home/Search Document Not in Database Summary Related Articles |
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The Reduced Genus of a Multigraph - de Mendez (1999) (Correct)
....E i 6= 8i 2 I) and S i2I E i = X . The elements of X and E are respectively the vertices and the edges (or hyperedges) of the hypergraph. Di erent generalizations of the concept of planarity to hypergraphs have been proposed (See [16] for instance) The rst generalization is due to Zykov [36]. He proposed to represent the edges of a hypergraph by a subset of the faces of a planar map. Walsh [34] has shown that Zykov s de nition (as well as another de nition due to Cori [5] is equivalent to the following: A hypergraph is planar if and only if its vertex edge incidence graph is planar ....
A.A. Zykov. Hypergraphs. Uspeki Mat. Nauk, 6:89-154, 1974.
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