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The Maximum Size of 3-Wise Intersecting and 3-Wise Union Families

โœ Scribed by Peter Frankl; Norihide Tokushige

Book ID
106047600
Publisher
Springer Japan
Year
2006
Tongue
English
Weight
102 KB
Volume
22
Category
Article
ISSN
0911-0119

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๐Ÿ“œ SIMILAR VOLUMES

3-Wise Exactly 1-Intersecting Families o
3-Wise Exactly 1-Intersecting Families of Sets
โœ Zsolt Katona ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› Springer Japan ๐ŸŒ English โš– 257 KB

Let f(l, t, n) be the maximal size of a family F & 2 ยฝn such that any l ! 2 sets of F have an exactly t ! 1-element intersection. If l ! 3, it trivially comes from [8] that the optimal families are trivially intersecting (there is a t-element core contained by all the members of the family). Hence i

Further results on the maximum size of a
Further results on the maximum size of a hole in an incomplete t-wise balanced design with specified minimum block size
โœ I. Adamczak; D. L. Kreher; A. C. H. Ling; R. S. Rees ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 192 KB ๐Ÿ‘ 1 views

## Abstract Kreher and Rees 3 proved that if __h__ is the size of a hole in an incomplete balanced design of order ฯ… and index ฮป having minimum block size $k \ge t+1$, then, They showed that when __t__โ€‰=โ€‰2 or 3, this bound is sharp infinitely often in that for each __h__โ€‰โ‰ฅโ€‰__t__ and each __k__โ€‰โ‰ฅโ€‰_