Abstract
In this paper, we prove that for any k >= 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 >= 1, the minimum size of an asymmetric k-uniform hypergraph. (c) 2023 Elsevier Inc. All rights reserved.