TY - JOUR ID - Zwonek2005 LB - Zwonek2005 AU - Zwonek, Małgorzata TI - A note on self-complementary hypergraphs ST - A note on self-complementary hypergraphs JO - Opuscula Math. JA - Opuscula Math. JF - Opuscula Mathematica PY - 2005 VL - 25 IS - 2 SP - 351 EP - 354 DO - http://dx.doi.org/10.7494/OpMath.2005.25.2.351 UR - http://dx.doi.org/10.7494/OpMath.2005.25.2.351 AB - 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)]). KW - self-complementary hypergraphs KW - complementing permutation SN - 1232-9274 ER -