Geodesic
On the Hypercompetition Numbers of Hypergraphs with Maximum Degree at Most Two
Discussiones Mathematicae. Graph Theory, Tome 35 (2015) no. 3, pp. 595-598.

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In this note, we give an easy and short proof for the theorem by Park and Kim stating that the hypercompetition numbers of hypergraphs with maximum degree at most two is at most two.
Keywords: digraph, competition hypergraph, hypercompetition number 
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Sano, Yoshio. On the Hypercompetition Numbers of Hypergraphs with Maximum Degree at Most Two. Discussiones Mathematicae. Graph Theory, Tome 35 (2015) no. 3, pp. 595-598. http://geodesic.mathdoc.fr/item/DMGT_2015_35_3_a16/

[1] B. Park and S.-R. Kim, On Opsut’s conjecture for hypercompetition numbers of hypergraphs, Discrete Appl. Math. 160 (2012) 2286-2293. doi:10.1016/j.dam.2012.05.009

[2] B. Park and Y. Sano, On the hypercompetition numbers of hypergraphs, Ars Combin. 100 (2011) 151-159.

[3] M. Sonntag and H.-M. Teichert, Competition hypergraphs, Discrete Appl. Math. 143 (2004) 324-329. doi:10.1016/j.dam.2004.02.010