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On Decomposing the Complete Symmetric Digraph into Orientations of K4-e

Resource type
Authors/contributors
Title
On Decomposing the Complete Symmetric Digraph into Orientations of K4-e
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. © 2019 Ryan C. Bunge et al., published by Sciendo 2019.
Publication
Discussiones Mathematicae - Graph Theory
Publisher
Sciendo
Date
2019
Volume
39
Issue
4
Pages
815-828
Journal Abbr
Discuss. Math. Gr. Theory
Citation Key
bungeDecomposingCompleteSymmetric2019
ISSN
12343099 (ISSN)
Archive
Scopus
Language
English
Extra
0 citations (Crossref) [2023-10-31]
Citation
Bunge, R. C., Darrow, B. D., Dubczuk, T. M., El-Zanati, S. I., Hao, H. H., Keller, G. L., Newkirk, G. A., & Roberts, D. P. (2019). On Decomposing the Complete Symmetric Digraph into Orientations of K4-e. Discussiones Mathematicae - Graph Theory, 39(4), 815–828. Scopus. https://doi.org/10.7151/dmgt.2101