## Abstract The Hamilton—Waterloo problem is to determine the existence of a 2‐factorization of __K__~2__n__+1~ in which __r__ of the 2‐factors are isomorphic to a given 2‐factor __R__ and __s__ of the 2‐factors are isomorphic to a given 2‐factor __S__, with __r__ + __s__=__n__. In this article we
The Hamilton–Waterloo problem: the case of Hamilton cycles and triangle-factors
✍ Scribed by Peter Horak; Roman Nedela; Alex Rosa
- Book ID
- 108113401
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 224 KB
- Volume
- 284
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
## Abstract In this article, we consider the Hamilton‐Waterloo problem for the case of Hamilton cycles and triangle‐factors when the order of the complete graph __K__~__n__~ is even. We completely solved the problem for the case __n__≡24 (mod 36). For the cases __n__≡0 (mod 18) and __n__≡6 (mod 36)
## Abstract The Hamilton–Waterloo problem seeks a resolvable decomposition of the complete graph __K__~__n__~, or the complete graph minus a 1‐factor as appropriate, into cycles such that each resolution class contains only cycles of specified sizes. We completely solve the case in which the resolu