On Nonconvexity of the Set of Hypergraphic Sequences
Hasmik Sahakyan Β· 2023
In this paper, we prove that π«π« ππ (ππ), the set of hypergraphic sequences of all simple hypergraphs ([ππ], π¬π¬), where [ππ] = {ππ, ππ, β― , ππ}, and |π¬π¬| = ππ; being a subset of ππ - dimensional ππ + ππ -valued grid π©π© ππ+ππ ππ , is not a convex set in π©π© ππ+ππ ππ ; also, we characterize the smallest convex set containing π«π« ππ (ππ).