The saturation number of Berge- will always grow linearly in , regardless of the uniformity or the graph.

Jul 18, 2018 · We say a hypergraph is Berge-F-saturated if it does not contain a Berge-F, but adding any hyperedge creates a copy of Berge-F. The k-uniform ...

Jul 18, 2018 · In this paper, we are interested in considering saturation numbers of hypergraphs. Given a family of k-uniform hypergraphs F and a k-uniform ...

We say a hypergraph is Berge-F-saturated if it does not contain a Berge-F, but adding any hyperedge creates a copy of a Berge- F. The k-uniform saturation ...

We address the saturation problem concerning Berge--free hypergraphs, ie what is the minimum number of hyperedges in an-uniform Berge--free hypergraph.

We say a hypergraph is Berge-F-saturated if it does not contain a Berge-F, but adding any hyperedge creates a copy of a Berge- F. The k-uniform saturation ...

For a graph F, we say a hypergraph H is a Berge-F if it can be obtained from F by replacing each edge of F with a hyperedge containing it.

Fix a hypergraph F . A hypergraph H is called a Berge copy of F or Berge-F if we can choose a subset of each hyperedge of H to obtain a copy of F . A ...

Abstract: For a graph F , we say a hypergraph H is Berge- F if it can be obtained from F be replacing each edge of F with a hyperedge containing it.

Mar 15, 2021 · We remark that in the case u = 2, the linearity of osatr(n, F) follows from either of the next two theorems, as they imply satr(n, Kk) = O(n).