Displaying similar documents to “Isomorphism classes of maximal intersecting uniform families are few.”

Sunflowers in lattices.

McKenna, Geoffrey (2005)

The Electronic Journal of Combinatorics [electronic only]

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A Hilton-Milner theorem for vector spaces.

Blokhuis, A., Brouwer, A.E., Chowdhury, A., Frankl, P., Mussche, T., Patkós, B., Szönyi, T. (2010)

The Electronic Journal of Combinatorics [electronic only]

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One More Turán Number and Ramsey Number for the Loose 3-Uniform Path of Length Three

Joanna Polcyn (2017)

Discussiones Mathematicae Graph Theory

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Let P denote a 3-uniform hypergraph consisting of 7 vertices a, b, c, d, e, f, g and 3 edges {a, b, c}, {c, d, e}, and {e, f, g}. It is known that the r-color Ramsey number for P is R(P; r) = r + 6 for r ≤ 9. The proof of this result relies on a careful analysis of the Turán numbers for P. In this paper, we refine this analysis further and compute the fifth order Turán number for P, for all n. Using this number for n = 16, we confirm the formula R(P; 10) = 16.