The spectrum for 3-way \(k\)-homogeneous Latin trades (Q888605)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: The spectrum for 3-way \(k\)-homogeneous Latin trades |
scientific article; zbMATH DE number 6502787
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The spectrum for 3-way \(k\)-homogeneous Latin trades |
scientific article; zbMATH DE number 6502787 |
Statements
The spectrum for 3-way \(k\)-homogeneous Latin trades (English)
0 references
2 November 2015
0 references
Summary: A \(\mu\)-way \(k\)-homogeneous Latin trade was defined by \textit{G. Behrooz Bagheri} et al. [Discrete Math. 312, No. 24, 3473--3481 (2012; Zbl 1259.05028)], where the existence of \(3\)-way \(k\)-homogeneous Latin trades was specifically investigated. We investigate the existence of a certain class of \(\mu\)-way \(k\)-homogeneous Latin trades with an idempotent like property. We present a number of constructions for \(\mu\)-way \(k\)-homogeneous Latin trades with this property, and show that these can be used to fill in the spectrum of 3-way \(k\)-homogeneous Latin trades for all but 196 possible exceptions.
0 references
Latin square
0 references
Latin trade
0 references
\(\mu\)-way \(k\)-homogeneous Latin trade
0 references
