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Packing and covering tetrahedra.

Authors :
Ghosh, S.K.
Haxell, P.E.
Source :
Discrete Applied Mathematics. Jun2013, Vol. 161 Issue 9, p1209-1215. 7p.
Publication Year :
2013

Abstract

Abstract: Let be a -uniform hypergraph that has a geometric realization in . We show that there is a set of edges of that meets all copies of the complete subhypergraph in with , where denotes the maximum size of a set of pairwise edge-disjoint copies of in . This generalizes a result of Tuza on planar graphs. For we also prove two fractional weakenings of the same statement for arbitrary 3-uniform hypergraphs. [Copyright &y& Elsevier]

Details

Language :
English
ISSN :
0166218X
Volume :
161
Issue :
9
Database :
Academic Search Index
Journal :
Discrete Applied Mathematics
Publication Type :
Academic Journal
Accession number :
89478280
Full Text :
https://doi.org/10.1016/j.dam.2010.05.027