Multicolored Hamilton Cycles and Perfect Matchings in Pseudorandom Graphs
✍ Scribed by Kühn, Daniela; Osthus, Deryk
- Book ID
- 118198540
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 2006
- Tongue
- English
- Weight
- 184 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0895-4801
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Let H be a hexagonal system. The Z-transformation graph Z(H) is the graph where the vertices are the perfect matchings of H and where two perfect matchings are joined by an edge provided their symmetric difference is a hexagon of H (Z. Fu-ji et al., 1988). In this paper we prove that Z(H) has a Hami
Select four perfect matchings of 2n vertices, independently at random. We find the asymptotic probability that each of the first and second matchings forms a Hamilton cycle with each of the third and fourth. This is generalised to embrace any fixed number of perfect matchings, where a prescribed set