A note on packing of two copies of a hypergraph

• Autorzy: Monika Pilśniak , Mariusz Woźniak
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

packing; hypergraphs

Kategorie tematyczne

• 05C70: Factorization, matching, partitioning, covering and packing
• 05C65: Hypergraphs

• Wydawca: De Gruyter Open
• Czasopismo: Discussiones Mathematicae Graph Theory
• Rocznik: 2007
• Tom: 27
• Numer: 1
• Strony: 45-49

Daty

wydano

2007

otrzymano

2005-09-05

poprawiono

2007-01-12

Twórcy

autor

Monika Pilśniak

• Faculty of Applied Mathematics, AGH University of Science and Technology, Mickiewicza 30, 30-059 Kraków, Poland

autor

Mariusz Woźniak

• Institute of Mathematics, Polish Academy of Sciences, Św. Tomasza 30, Kraków, Poland

Bibliografia

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• [4] M. Woźniak, Embedding graphs of small size, Discrete Applied Math. 51 (1994) 233-241, doi: 10.1016/0166-218X(94)90112-0.
• [5] M. Woźniak, Packing of graphs, Dissertationes Math. 362 (1997) 1-78.
• [6] M. Woźniak, Packing of graphs and permutations - a survey, Discrete Math. 276 (2004) 379-391, doi: 10.1016/S0012-365X(03)00296-6.
• [7] H.P. Yap, Some Topics in Graph Theory, London Math. Society, Lecture Notes Series, Vol. 108 (Cambridge University Press, Cambridge, 1986).
• [8] H.P. Yap, Packing of graphs - a survey, Discrete Math. 72 (1988) 395-404, doi: 10.1016/0012-365X(88)90232-4.

Identyfikatory

DOI

10.7151/dmgt.1343