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Kirkman’s Tetrahedron and the Fifteen Schoolgirl Problem

✍ Scribed by Giovanni Falcone and Marco Pavone

Book ID
115474890
Publisher
Mathematical Association of America
Year
2011
Tongue
English
Weight
270 KB
Volume
118
Category
Article
ISSN
0002-9890

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📜 SIMILAR VOLUMES

An application of the solution of Kirkma
An application of the solution of Kirkman's schoolgirl problem: The decomposition of the symmetric oriented complete graph into 3-circuits
✍ J.C. Bermond 📂 Article 📅 1974 🏛 Elsevier Science 🌐 English ⚖ 324 KB

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].