Constructive Packings by Linear Hypergraphs
2013 ◽
Vol 22
(6)
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pp. 829-858
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For k-graphs F0 and H, an F0-packing of H is a family $\mathscr{F}$ of pairwise edge-disjoint copies of F0 in H. Let νF0(H) denote the maximum size |$\mathscr{F}$| of an F0-packing of H. Already in the case of graphs, computing νF0(H) is NP-hard for most fixed F0 (Dor and Tarsi [6]).In this paper, we consider the case when F0 is a fixed linear k-graph. We establish an algorithm which, for ζ > 0 and a given k-graph H, constructs in time polynomial in |V(H)| an F0-packing of H of size at least νF0(H) − ζ |V(H)|k. Our result extends one of Haxell and Rödl, who established the analogous algorithm for graphs.
2020 ◽
Vol 29
(5)
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pp. 757-779
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Keyword(s):
2012 ◽
Vol 21
(3)
◽
pp. 511-513
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2016 ◽
Vol 25
(5)
◽
pp. 645-667
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Keyword(s):
Keyword(s):