NDLI: The Turán Number of $F

Content Provider	Scilit
Author	Keevash, Peter Mubayi, Dhruv
Copyright Year	2011
Description	Let $F_{3,3}$ be the 3-graph on 6 vertices, labelled abcxyz, and 10 edges, one of which is abc, and the other 9 of which are all triples that contain 1 vertex from abc and 2 vertices from xyz. We show that for all n ≥ 6, the maximum number of edges in an $F_{3,3}$-free 3-graph on n vertices is $\binom{n}{3} - \binom{\lfloor n/2 \rfloor}{3} - \binom{\lceil n/2 \rceil}{3}$ . This sharpens results of Zhou [9] and of the second author and Rödl [7].
Related Links	http://pdfs.semanticscholar.org/2cad/de5a9a1a5a9def56dfc1af705f87732d3c17.pdf http://journals.cambridge.org/article_S0963548311000678
Ending Page	456
Page Count	6
Starting Page	451
ISSN	09635483
e-ISSN	14692163
DOI	10.1017/s0963548311000678
Journal	Combinatorics, Probability and Computing
Issue Number	3
Volume Number	21
Language	English
Publisher	Cambridge University Press (CUP)
Publisher Date	2011-11-29
Access Restriction	Open
Subject Keyword	Combinatorics, Probability and Computing Primary 05c35
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Statistics and Probability Theoretical Computer Science Computational Theory and Mathematics

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The Turán Number of $F_{3,3}$