## Abstract Let __n__ > 1 be an integer and let __a__~2~,__a__~3~,…,__a__~__n__~ be nonnegative integers such that $\sum\_{i=2}^{n} a\_i=2^{n-1} - 1$. Then $K\_{2^n}$ can be factored into $a\_2 C\_{2^2}$‐factors, $a\_3 C\_{2^3}$‐factors,…,$a\_n C\_{2^n}$‐factors, plus a 1‐factor. © 2002 Wiley Perio
Some observations on the oberwolfach problem
✍ Scribed by Brian Alspach; Roland Häggkvist
- Publisher
- John Wiley and Sons
- Year
- 1985
- Tongue
- English
- Weight
- 425 KB
- Volume
- 9
- Category
- Article
- ISSN
- 0364-9024
No coin nor oath required. For personal study only.
✦ Synopsis
Some results concerning decompositions of Kn, K,, -F (where F denotes a I-factor) and complements of a family of special cubic graphs into 2factors of the same type are given. In particular, if 2d is a divisor of n, it is shown that K, -F can be decomposed into 2-factors each of whose components is a cycle of length 2d.
📜 SIMILAR VOLUMES
It is shown that if F 1 , F 2 , ...,F t are bipartite 2-regular graphs of order n and 1 , 2 , . . . , t are positive integers such that 1 + 2 +• • •+ t = (n-2) / 2, 1 ≥ 3 is odd, and i is even for i = 2, 3, . . . , t, then there exists a 2-factorization of K n -I in which there are exactly i 2-facto
## T W O FIGURES 'Aided by a grant from the Damon Runyon Foundation (DRIR-121). Dr. John 0. Corliss (personal communication) designates pyriformis as the type species for the genus T~trahy?nenn and geleii as a synonym.
Thc widespread u80 of the Abol test ns an indicator of tho stability of explosives and the difficulty so often experienced in intcrproting its results, havo fncueacd attention on tho mcolinnism of tho test, and as a eonseqiienee many new fnets hnvo recuntly been brought to light. Tho rcccnt work of