Niche Hypergraphs

• Published in: Discussiones Mathematicae. Graph Theory Vol. 36; no. 4; pp. 819 - 832
• Main Authors: Garske, Christian, Sonntag, Martin, Teichert, Hanns-Martin
• Format: Journal Article
• Language: English
• Published: De Gruyter Open 01.11.2016; University of Zielona Góra
• Subjects: niche hypergraph; niche number

If D = (V,A) is a digraph, its niche hypergraph NH(D) = (V, E) has the edge set ℇ = {e ⊆ V | |e| ≥ 2 ∧ ∃ v ∈ V : e = N (v) ∨ e = N (v)}. Niche hypergraphs generalize the well-known niche graphs (see [11]) and are closely related to competition hypergraphs (see [40]) as well as double competition hyp...