Competition hypergraphs of digraphs with certain properties I. Strong connectedness
Martin Sonntag ; Hanns-Martin Teichert
Discussiones Mathematicae Graph Theory, Tome 28 (2008), p. 5-21 / Harvested from The Polish Digital Mathematics Library
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If D = (V,A) is a digraph, its competition hypergraph 𝓒𝓗(D) has the vertex set V and e ⊆ V is an edge of 𝓒𝓗(D) iff |e| ≥ 2 and there is a vertex v ∈ V, such that e = {w ∈ V|(w,v) ∈ A}. We tackle the problem to minimize the number of strong components in D without changing the competition hypergraph 𝓒𝓗(D). The results are closely related to the corresponding investigations for competition graphs in Fraughnaugh et al. [3].

Publié le : 2008-01-01
EUDML-ID : urn:eudml:doc:270260 
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Martin Sonntag; Hanns-Martin Teichert. Competition hypergraphs of digraphs with certain properties I. Strong connectedness. Discussiones Mathematicae Graph Theory, Tome 28 (2008) pp. 5-21. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgt_1388/

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