TY - JOUR
T1 - Niche hypergraphs of products of digraphs
AU - Sonntag, Martin
AU - Teichert, Hanns Martin
N1 - Publisher Copyright:
© 2019 Martin Sonntag et al., published by Sciendo 2019.
Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.
PY - 2020/2/1
Y1 - 2020/2/1
N2 - If D = (V, A) is a digraph, its niche hypergraph NH(D) = (V, ϵ) has the edge set ϵ={e⊆V||e|≥2δ υϵV:e=ND-(υ). Niche hypergraphs generalize the well-known niche graphs and are closely related to competition hypergraphs as well as common enemy hypergraphs. For several products D1 &omicron D2 of digraphs D1 and D2, we investigate the relations between the niche hypergraphs of the factors D1, D2 and the niche hypergraph of their product D1 &omicron D2
AB - If D = (V, A) is a digraph, its niche hypergraph NH(D) = (V, ϵ) has the edge set ϵ={e⊆V||e|≥2δ υϵV:e=ND-(υ). Niche hypergraphs generalize the well-known niche graphs and are closely related to competition hypergraphs as well as common enemy hypergraphs. For several products D1 &omicron D2 of digraphs D1 and D2, we investigate the relations between the niche hypergraphs of the factors D1, D2 and the niche hypergraph of their product D1 &omicron D2
UR - http://www.scopus.com/inward/record.url?scp=85078205834&partnerID=8YFLogxK
U2 - 10.7151/dmgt.2138
DO - 10.7151/dmgt.2138
M3 - Journal articles
AN - SCOPUS:85078205834
SN - 1234-3099
VL - 40
SP - 279
EP - 295
JO - Discussiones Mathematicae - Graph Theory
JF - Discussiones Mathematicae - Graph Theory
IS - 1
ER -