Critical sets in direct product C3 × Cn of back circulant latin squares

Authors

  • Cao, Haitao
  • Du, Beiliang

Abstract

Stinson and Van Rees have given a construction for critical sets in C2 × Cn for n even. Then, Cooper, Donovan and Gower constructed a family of critical sets in C2 × Cn for n odd. In this paper, we construct some new critical sets in C3 × Cn and show that lcs(n) ≥ (29n2 - 27n)/54 for n ≡ 0 (mod 9).

Published

2002-06-09

How to Cite

Cao, Haitao, & Du, Beiliang. (2002). Critical sets in direct product C3 × Cn of back circulant latin squares. Utilitas Mathematica, 62. Retrieved from https://utilitasmathematica.com/index.php/Index/article/view/238

Issue

Section

Articles

Citation Check

Most read articles by the same author(s)

Obs.: This plugin requires at least one statistics/report plugin to be enabled. If your statistics plugins provide more than one metric then please also select a main metric on the admin's site settings page and/or on the journal manager's settings pages.