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A short proof of fisher's inequality

✍ Scribed by Renaud Palisse


Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
71 KB
Volume
111
Category
Article
ISSN
0012-365X

No coin nor oath required. For personal study only.

✦ Synopsis


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.


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 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 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