## Abstract The complete equipartite graph \documentclass{article}\footskip=0pc\pagestyle{empty}\begin{document}$K\_m \* {\overline{K\_n}}$\end{document} has mn vertices partitioned into __m__ parts of size __n__, with two vertices adjacent if and only if they are in different parts. In this paper,
Equipartitions of graphs
β Scribed by David Eppstein; Joan Feigenbaum; Chung-Lun Li
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 578 KB
- Volume
- 91
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
β¦ Synopsis
Let G be an undirected graph on n nodes, and let k be an integer that divides n. A k-equipartition n of G is a partition of V(G) into k equal-sized pieces V,,
π SIMILAR VOLUMES
In this article we find necessary and sufficient conditions to decompose a complete equipartite graph into cycles of uniform length, in the case that the length is both even and short relative to the number of parts.
## Abstract It is an open problem to determine whether a complete equipartite graph $K\_m\*{\overline{K}}\_n$ (having __m__ parts of size __n__) admits a decomposition into cycles of arbitrary fixed length $k$ whenever __m__, __n__, and __k__ satisfy the obvious necessary conditions for the existen
## Abstract In this article, we introduce a new technique for obtaining cycle decompositions of complete equipartite graphs from cycle decompositions of related multigraphs. We use this technique to prove that if __n__, __m__ and Ξ» are positive integers with __n__ β₯ 3, Ξ»β₯ 3 and __n__ and Ξ» both odd