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9 - A Short Proof for an Extension of the Erdős–Ko–Rado Theorem

Published online by Cambridge University Press:  25 May 2018

Peter Frankl
Affiliation:
Alfréd Rényi Institute of Mathematics, Hungarian Academy of Sciences, H-1053 Budapest, Hungary
Andrey Kupavskii
Affiliation:
Moscow Institute of Physics and Technology, Dolgobrudny, Moscow Region, 141701, Russian Federation; and University of Birmingham, Birmingham, B15 2TT, UK
Steve Butler
Affiliation:
Iowa State University
Joshua Cooper
Affiliation:
University of South Carolina
Glenn Hurlbert
Affiliation:
Virginia Commonwealth University
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Connections in Discrete Mathematics
A Celebration of the Work of Ron Graham
, pp. 169 - 172
Publisher: Cambridge University Press
Print publication year: 2018

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References

1. D. E., Daykin. Erdős-Ko-Rado from Kruskal-Katona. J. Combin. Theory Ser. A 17 (1974), 254–255.Google Scholar
2. P., Erdős, C, Ko, and R., Rado. Intersection theorems for systems of finite sets. Quart. J. Math. 12 (1961) N1, 313–320.Google Scholar
3. P., Frankl and R. L., Graham. Old and new proofs of the Erdos-Ko-Rado theorem. Sichuan Daxue Xuebao 26 (1989), 112–122.Google Scholar
4. P., Frankl and A., Kupavskii. Erdős-Ko-Rado theorem for ﹛0,±1﹜-vectors. JCTA, forthcoming. arXiv:1510.03912
5. Z., Furedi and J. R., Griggs. Families of finite sets with minimum shadows. Combinatorica 6 (1986), 355–363.Google Scholar
6. A. J. W., Hilton. The Erdos-Ko-Rado theorem with valency conditions. (1976), unpublished manuscript.
7. G., Katona. A theorem of finite sets. In “Theory of Graphs, Proc. Coll. Tihany, 1966.” Akad, Kiado, Budapest, 1968; Classic Papers in Combinatorics (1987), 381–401.
8. J. B., Kruskal. The number of simplices in a complex. Math. Optim. Techn. 251 (1963), 251–278.Google Scholar
9. M., Matsumoto and N., Tokushige. The exact bound in the Erdos-Ko-Rado theorem for cross-intersecting families. J. Combin. Theory Ser. A 52 (1989) N1, 90–97.Google Scholar
10. L., Pyber. A new generalization of the Erdős-Ko-Rado theorem. J. Combin. Theory Ser. A 43 (1986), 85–90.Google Scholar

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