A note on the cardinality of certain classes of unlabeled multipartite tournaments
β Scribed by Gregory Gutin
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 173 KB
- Volume
- 186
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
β¦ Synopsis
A multipartite tournament is an orientation of a complete multipartite graph. Simple derivations are obtained of the numbers of unlabeled acyclic and unicyclic multipartite tournaments, and unlabeled bipartite tournaments with exactly k cycles, which are pairwise vertex-disjoint.
π SIMILAR VOLUMES
It is shown that the full symmetry class of tensors associated with the irreducible character [2, 1 n-2 ] of S n does not have an orthogonal basis consisting of decomposable symmetrized tensors.
In this note a method of construction of certain combinatorial designs is defined. This gives the solution of (121, 132, 60, 55, 27) which is marked as unknown by Kageyama [l].