학술논문

On Decomposing the Complete Symmetric Digraph into Orientations of K4 − e
Document Type
article
Source
Discussiones Mathematicae Graph Theory, Vol 39, Iss 4, Pp 815-828 (2019)
Subject
digraph decompositions
orientations of k4 − e
05c51
05b30
Mathematics
QA1-939
Language
English
ISSN
2083-5892
Abstract
Let D be any of the 10 digraphs obtained by orienting the edges of K4 − e. We establish necessary and sufficient conditions for the existence of a (Kn*$K_n^*$, D)-design for 8 of these digraphs. Partial results as well as some nonexistence results are established for the remaining 2 digraphs.