Decomposing the complete r -graph

Leader, Imre and Milicevic, Luka and Tan, Ta Sheng (2018) Decomposing the complete r -graph. Journal of Combinatorial Theory, Series A, 154. pp. 21-31. ISSN 0097-3165, DOI

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Let fr(n) be the minimum number of complete r-partite r-graphs needed to partition the edge set of the complete r-uniform hypergraph on n vertices. Graham and Pollak showed that f2(n)=n−1. An easy construction shows that fr(n)≤(1−o(1))(n⌊r/2⌋) and it has been unknown if this upper bound is asymptotically sharp. In this paper we show that fr(n)≤([formula presented]+o(1))(nr/2) for each even r≥4.

Item Type: Article
Uncontrolled Keywords: Hypergraph; Decomposition; Graham–Pollak
Subjects: Q Science > Q Science (General)
Q Science > QA Mathematics
Divisions: Faculty of Science > Institute of Mathematical Sciences
Depositing User: Ms. Juhaida Abd Rahim
Date Deposited: 26 Jun 2019 03:22
Last Modified: 26 Jun 2019 03:22

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