## On the Spectra of Bipartite Directed Subgraphs of K ∗ 4

- R. C. Bunge, S. I. El-Zanati, +5 authors N. E. Witt
- 2015

@article{Bermond1974AnAO, title={An application of the solution of Kirkman's schoolgirl problem: The decomposition of the symmetric oriented complete graph into 3-circuits}, author={Jean-Claude Bermond}, journal={Discrete Mathematics}, year={1974}, volume={8}, pages={301-304} }

- Published 1974 in Discrete Mathematics
DOI:10.1016/0012-365X(74)90149-6

In this paper, we show that if K,* denotes the symmetric oriented complete graph on n vertices, with n f 6, then we can partition the arcs of Kg into oriented 3-circuits if and only if n(n-1) = 0 (mod 3). We use the solution of Kirkman’s schoolgirl problem given by Ray-Chaudhuri and Wilson [l]. An oriented graph G is a pair (X, U), where X is a finite set… CONTINUE READING

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