Niche hypergraphs

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چکیده

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Niche hypergraphs

If D = (V,A) is a digraph, its niche hypergraph NH(D) = (V, E) has the edge set E = {e ⊆ V | |e| ≥ 2 ∧ ∃v ∈ V : e = N− D (v) ∨ e = N + D (v)}. Niche hypergraphs generalize the well-known niche graphs (cf. [?]) and are closely related to competition hypergraphs (cf. [?]) as well as double competition hypergraphs (cf. [?]). We present several properties of niche hypergraphs of acyclic digraphs.

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ژورنال

عنوان ژورنال: Discussiones Mathematicae Graph Theory

سال: 2016

ISSN: 1234-3099,2083-5892

DOI: 10.7151/dmgt.1893