Authors:
R.C. Bunge, B.D. Darrow, T.M. Dubczuk, S. El-Zanati, H.H. Hao, G.L. Keller, G.A. Newkirk, D.P. Roberts
Title:
On decomposing the complete symmetric digraph into orientations of K4-e
Source:
Discussiones Mathematicae Graph Theory
Received 26.06.2017, Revised 25.11.2017, Accepted 25.11.2017, doi: 10.7151/dmgt.2101

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 (K*n,D)-design for 8 of these digraphs. Partial results as well as some nonexistence results are established for the remaining 2 digraphs.
Keywords:
digraph decompositions, orientations of K4-e

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