The Annals of Mathematical Statistics

On the Uniqueness of the Triangular Association Scheme

A. J. Hoffman

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Abstract

Connor [3] has shown that the relations among the parameters of the triangular association scheme themselves imply the scheme if $n \geqq 9$. This result was shown by Shrikhande [6] to hold also if $n \leqq 6$. (The problem has no meaning for $n < 4$.) This paper shows that the result holds if $n = 7$, but that it is false if $n = 8$.

Article information

Source
Ann. Math. Statist., Volume 31, Number 2 (1960), 492-497.

Dates
First available in Project Euclid: 27 April 2007

Permanent link to this document
https://projecteuclid.org/euclid.aoms/1177705914

Digital Object Identifier
doi:10.1214/aoms/1177705914

Mathematical Reviews number (MathSciNet)
MR117166

Zentralblatt MATH identifier
0091.31504

JSTOR
links.jstor.org

Citation

Hoffman, A. J. On the Uniqueness of the Triangular Association Scheme. Ann. Math. Statist. 31 (1960), no. 2, 492--497. doi:10.1214/aoms/1177705914. https://projecteuclid.org/euclid.aoms/1177705914


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See also

  • Same Results Obtained: Note [On the Uniqueness and Nonuniqueness of the Triangular Association Schemes]. Ann. Math. Statist., Volume 31, Issue 2, June 1960, 497.