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Fisher's inequality revisited

✍ Scribed by Takashi Hara; Hal Tasaki


Publisher
Elsevier Science
Year
1984
Tongue
English
Weight
165 KB
Volume
100
Category
Article
ISSN
0375-9601

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πŸ“œ SIMILAR VOLUMES


A Generalization of Fisher's Inequality
✍ Hunter S. Snevily πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 97 KB

In this paper we are concerned with the following conjecture. Conjecture: Let L be a collection of k positive integers and In particular, we show this conjecture is true when L consists of k consecutive positive integers. This generalizes a well-known inequality of Fisher's. Our proof simplifies an

A Note on Fisher's Inequality
✍ Douglas R. Woodall πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 226 KB

A new proof is given of the nonuniform version of Fisher's inequality, first proved by Majumdar. The proof is ``elementary,'' in the sense of being purely combinatorial and not using ideas from linear algebra. However, no nonalgebraic proof of the n-dimensional analogue of this result (Theorem 3 her

A sharpening of Fisher's inequality
✍ Peter Frankl; ZoltΓ‘n FΓΌredi πŸ“‚ Article πŸ“… 1991 πŸ› Elsevier Science 🌐 English βš– 261 KB

on v points and b lines the number of intersecting line-pairs is at least (z). This clearly implies b 2 v.

A short proof of fisher's inequality
✍ Renaud Palisse πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 71 KB

Nous donnons ici une dtmonstration nouvelle, trts courte, de I'iGgaliti de Fisher, qui gCntralise un rCsultat bien connu de de Bruijn et ErdGs. Cette dtmonstration utilise essentiellement une id&e de Tverberg (1982) pour dt-montrer un autre tnonct combinatoire. We prove the following result.

A Fisher type inequality
✍ D.E. Keenan πŸ“‚ Article πŸ“… 1980 πŸ› Elsevier Science 🌐 English βš– 318 KB

tn this paper we study subsets of 8 finite set that intersect each other in at most one eleml~ont, Etch subaet intersects mogt of the other subsets in exwtly one element. The Mowing theorem is one of our main conduaions, tot S,, 1 . . , S,,, be m subrreta ot' an n=aet S with IS,1 22 (1~ I, 1.1, tti)