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k–Pyramidal One–Factorizations

✍ Scribed by Giuseppe Mazzuoccolo; Gloria Rinaldi

Publisher
Springer Japan
Year
2007
Tongue
English
Weight
130 KB
Volume
23
Category
Article
ISSN
0911-0119

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📜 SIMILAR VOLUMES

On 2-factorizations of the complete grap
On 2-factorizations of the complete graph: From the k-pyramidal to the universal property
✍ Simona Bonvicini; Giuseppe Mazzuoccolo; Gloria Rinaldi 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 180 KB 👁 1 views

## Abstract We consider 2‐factorizations of complete graphs that possess an automorphism group fixing __k__⩾0 vertices and acting sharply transitively on the others. We study the structures of such factorizations and consider the cases in which the group is either abelian or dihedral in some more d

There are 23 nonisomorphic perfect one-f
There are 23 nonisomorphic perfect one-factorizations of K14
✍ Jeffrey H. Dinitz; David K. Garnick 📂 Article 📅 1996 🏛 John Wiley and Sons 🌐 English ⚖ 181 KB

Using an orderly algorithm we established that there are exactly 23 nonisomorphic perfect one-factorizations of K14. Seah and Stinson (Ann. Discrete Math. 34 (1987), 419-436) had previously found 21 perfect one-factorizations of K I A with nontrivial automorphism group.

There are 526,915,620 nonisomorphic one-
There are 526,915,620 nonisomorphic one-factorizations of K12
✍ Jeffrey H. Dinitz; David K. Garnick; Brendan D. McKay 📂 Article 📅 1994 🏛 John Wiley and Sons 🌐 English ⚖ 724 KB

We enumerate the nonisomorphic and the distinct one-factorizations of K l z . We also describe the algorithm used to obtain the result, and the methols we used to verify these numbers.