Hostname: page-component-78c5997874-8bhkd Total loading time: 0 Render date: 2024-11-14T07:38:50.184Z Has data issue: false hasContentIssue false
  • English
  • Français

Sugar beet, guinea pigs and graph theory

Published online by Cambridge University Press:  01 August 2016

Lindsay J. Paterson
Lindsay J. Paterson*
Affiliation:
Department of Actuarial Mathematics and Statistics, Heriot-Watt University, Edinburgh EH14 4AS
Get access Rights & Permissions [Opens in a new window]

Extract

I. Scientific background

Here are two problems in applied combinatorics.

Problem I

A plant breeder wants to assess the yields of several varieties of sugar beet. The plots of land on which the experiment is to be grown are arranged in a row: each plot is to be planted with seed of a single variety. There is enough seed for more than one appearance of each variety.

Type
Research Article
Information
The Mathematical Gazette , Volume 70 , Issue 454 , December 1986 , pp. 273 - 280
Copyright
Copyright © The Mathematical Association 1986

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Denes, J. and Keedwell, A.D., Latin squares and their applications. English Universities Press, London (1974).Google Scholar
2. Deo, N., Graph theory with applications to engineering and computer science. Prentice-Hall, New Jersey (1974).Google Scholar
3. Finney, D.J. and Outhwaite, A.D., Serially balanced sequences in bioassay, Proc. R. Soc., B, 41, 493–507 (1956).Google Scholar
4. Harary, F., Graph theory. Addison-Wesley, Massachusetts (1969).Google Scholar
5. Keedwell, A.D., Some problems concerning complete Latin squares. In Combinatorics, London Mathematical Society Lecture Note Series No. 13, Cambridge University Press (1981).Google Scholar
6. Williams, R.M., Experimental designs for serially correlated observations, Biometrika, 39, 151–167 (1952).Google Scholar