Opuscula Mathematica

Opuscula Math.
 25
, no. 2
 (), 351-354
Opuscula Mathematica

A note on self-complementary hypergraphs


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.
Mathematics Subject Classification: 05C65.
Cite this article as:
Małgorzata Zwonek, A note on self-complementary hypergraphs, Opuscula Math. 25, no. 2 (2005), 351-354
 
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ISSN 1232−9274, e-ISSN 2300−6919, DOI https://doi.org/10.7494/OpMath
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