A 2-packing of a hypergraph 𝓗 is a permutation σ on V(𝓗) such that if an edge e belongs to 𝓔(𝓗), then σ (e) does not belong to 𝓔(𝓗). We prove that a hypergraph which does not contain neither empty edge ∅ nor complete edge V(𝓗) and has at most 1/2n edges is 2-packable. A 1-uniform hypergraph of order n with more than 1/2n edges shows that this result cannot be improved by increasing the size of 𝓗.
@article{bwmeta1.element.bwnjournal-article-doi-10_7151_dmgt_1343,
author = {Monika Pil\'sniak and Mariusz Wo\'zniak},
title = {A note on packing of two copies of a hypergraph},
journal = {Discussiones Mathematicae Graph Theory},
volume = {27},
year = {2007},
pages = {45-49},
zbl = {1133.05064},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgt_1343}
}
Monika Pilśniak; Mariusz Woźniak. A note on packing of two copies of a hypergraph. Discussiones Mathematicae Graph Theory, Tome 27 (2007) pp. 45-49. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgt_1343/
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