A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2022; you can also visit the original URL.
The file type is application/pdf.
Covers in 5-uniform intersecting families with covering number three
2013
The Australasian Journal of Combinatorics
Preserved Fulltext
Let k be an integer. It is known that the maximum number of threecovers of a k-uniform intersecting family with covering number three is k 3 − 3k 2 + 6k − 4 for k = 3, 4 or k ≥ 9. In this paper, we prove that the same holds for k = 5, and show that a 5-uniform intersecting family with covering number three which has 76 three-covers is uniquely determined.
dblp:journals/ajc/FuruyaT13
fatcat:f3y4iq4k6zaodcsoebzihc2iq4