Good sequencings for small Mendelsohn triple systems
Combinatorics
2019-09-17 v1
Abstract
A Mendelsohn triple system of order (or MTS) is a decomposition of the complete graph into directed 3-cyles. We denote the directed 3-cycle with edges , and by , or . An -good sequencing of a MTS is a permutation of the points of the design, say , such that, for every triple in the design, it is not the case that , and with and ; or with and ; or with and .
Keywords
Cite
@article{arxiv.1909.06475,
title = {Good sequencings for small Mendelsohn triple systems},
author = {Donald L. Kreher and Douglas R. Stinson and Shannon Veitch},
journal= {arXiv preprint arXiv:1909.06475},
year = {2019}
}
Comments
121 pages