On Asymmetric Hypergraphs
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Jiang, Yiting; Nešetřil, Jaroslav;
On Asymmetric Hypergraphs
In this paper, we prove that for any $k\ge 3$, there exist infinitely many minimal asymmetric $k$-uniform hypergraphs. This is in a striking contrast to $k=2$, where it has been proved recently that there are exactly $18$ minimal asymmetric graphs. We also determine, for every $k\ge 1$, the minimum size of an asymmetric $k$-uniform hypergraph.
Accepted by EUROCOMB21
- University of Paris France
- Charles University Czech Republic
- French National Centre for Scientific Research France
- University of Paris France
- Zhejiang Normal University China (People's Republic of)
FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), Group Theory (math.GR), Mathematics - Group Theory
FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), Group Theory (math.GR), Mathematics - Group Theory
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