A $\mu$-way $k$-homogeneous Latin trade was defined by Bagheri Gh, Donovan, Mahmoodian (2012), 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.
@article{10_37236_5125,
author = {Trent G. Marbach and Lijun Ji},
title = {The spectrum for 3-way \(k\)-homogeneous {Latin} trades},
journal = {The electronic journal of combinatorics},
year = {2015},
volume = {22},
number = {4},
doi = {10.37236/5125},
zbl = {1323.05023},
url = {http://geodesic.mathdoc.fr/articles/10.37236/5125/}
}
TY - JOUR
AU - Trent G. Marbach
AU - Lijun Ji
TI - The spectrum for 3-way \(k\)-homogeneous Latin trades
JO - The electronic journal of combinatorics
PY - 2015
VL - 22
IS - 4
UR - http://geodesic.mathdoc.fr/articles/10.37236/5125/
DO - 10.37236/5125
ID - 10_37236_5125
ER -
%0 Journal Article
%A Trent G. Marbach
%A Lijun Ji
%T The spectrum for 3-way \(k\)-homogeneous Latin trades
%J The electronic journal of combinatorics
%D 2015
%V 22
%N 4
%U http://geodesic.mathdoc.fr/articles/10.37236/5125/
%R 10.37236/5125
%F 10_37236_5125
Trent G. Marbach; Lijun Ji. The spectrum for 3-way \(k\)-homogeneous Latin trades. The electronic journal of combinatorics, Tome 22 (2015) no. 4. doi: 10.37236/5125
