## Abstract We consider 2βfactorizations of complete graphs that possess an automorphism group fixing __k__β©Ύ0 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
The Structure of\(2\)-Pyramidal\(2\)-Factorizations
β Scribed by Buratti, Marco; Traetta, Tommaso
- Book ID
- 125345611
- Publisher
- Springer Japan
- Year
- 2014
- Tongue
- English
- Weight
- 325 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0911-0119
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π SIMILAR VOLUMES
## Abstract Given an arbitrary 2βfactorization ${\cal F} = {F\_{1},F\_{2}, \cdots , F\_{v - 1/2}}$ of $K\_{v}$, let Ξ΄~__i__~ be the number of triangles contained in __F~i~__, and let Ξ΄β=βΣδ~__i__~. Then $\cal F$ is said to be a 2βfactorization with Ξ΄ triangles. Denote by Ξ(__v__), the set of all Ξ΄
We pose and completely solve the existence of pancyclic 2-factorizations of complete graphs and complete bipartite graphs. Such 2-factorizations exist for all such graphs, except a few small cases which we have proved are impossible. The solution method is simple but powerful. The pancyclic problem