Sufficient conditions for hypergraphs to be maximally edge-connected

摘要

Let H be a connected hypergraph. H is said to be linear if any two edges of H share at most one vertex. If all edges of H have the same cardinality, then H is uniform. We call H maximally edge-connected if the edge-connectivity of H attains its minimum degree. In this paper, we present some sufficient conditions for linear uniform hypergraphs to be maximally edge-connected that generalize the corresponding well-known results for graphs.