Geodesic
Competition hypergraphs of digraphs with certain properties II. Hamiltonicity
Discussiones Mathematicae. Graph Theory, Tome 28 (2008) no. 1, pp. 23-34

Voir la notice de l'article provenant de la source Library of Science

If D = (V,A) is a digraph, its competition hypergraph (D) has vertex set V and e ⊆ V is an edge of (D) iff |e| ≥ 2 and there is a vertex v ∈ V, such that e = N_D⁻(v) = w ∈ V|(w,v) ∈ A. We give characterizations of (D) in case of hamiltonian digraphs D and, more general, of digraphs D having a τ-cycle factor. The results are closely related to the corresponding investigations for competition graphs in Fraughnaugh et al. [4] and Guichard [6].
Keywords: hypergraph, competition graph, hamiltonian digraph 
@article{DMGT_2008_28_1_a1,
     author = {Sonntag, Martin and Teichert, Hanns-Martin},
     title = {Competition hypergraphs of digraphs with certain properties {II.} {Hamiltonicity}},
     journal = {Discussiones Mathematicae. Graph Theory},
     pages = {23--34},
     publisher = {mathdoc},
     volume = {28},
     number = {1},
     year = {2008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DMGT_2008_28_1_a1/}
}
TY  - JOUR
AU  - Sonntag, Martin
AU  - Teichert, Hanns-Martin
TI  - Competition hypergraphs of digraphs with certain properties II. Hamiltonicity
JO  - Discussiones Mathematicae. Graph Theory
PY  - 2008
SP  - 23
EP  - 34
VL  - 28
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/DMGT_2008_28_1_a1/
LA  - en
ID  - DMGT_2008_28_1_a1
ER  - 
%0 Journal Article
%A Sonntag, Martin
%A Teichert, Hanns-Martin
%T Competition hypergraphs of digraphs with certain properties II. Hamiltonicity
%J Discussiones Mathematicae. Graph Theory
%D 2008
%P 23-34
%V 28
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DMGT_2008_28_1_a1/
%G en
%F DMGT_2008_28_1_a1
Sonntag, Martin; Teichert, Hanns-Martin. Competition hypergraphs of digraphs with certain properties II. Hamiltonicity. Discussiones Mathematicae. Graph Theory, Tome 28 (2008) no. 1, pp. 23-34. http://geodesic.mathdoc.fr/item/DMGT_2008_28_1_a1/