@Article{Zwonek2005, author = "Zwonek, Małgorzata", title = "A note on self-complementary hypergraphs", journal = "Opuscula Math.", year = "2005", volume = "25", number = "2", pages = "351--354", doi = "http://dx.doi.org/10.7494/OpMath.2005.25.2.351", url = "http://dx.doi.org/10.7494/OpMath.2005.25.2.351", abstract = "In the paper we describe all self-complementary hypergraphs. It turns out that such hypergraphs exist if and only if the number of vertices of the hypergraph is of the form \(n=2^k\). This answers a conjecture posed by A. Szymański (see [Szymański A.: Note on self-complementary 4-uniform hypergraphs.(Preprint)]).", keywords = "self-complementary hypergraphs, complementing permutation", issn = "1232-9274" }