Lemma 2 of the paper asserts that if m is odd and s is odd then C,,,[R',J can be factorized into factors each of which is the point-disjoint union of one copy of C, with K s -1) copies of Cz,. We define certain cycles C,.,, , and our intention was that factor b (1 s b < s) would consist of all the c
On one-factorizations of compositions of graphs
✍ Scribed by P. Himelwright; W. D. Wallis; J. E. Williamson
- Publisher
- John Wiley and Sons
- Year
- 1982
- Tongue
- English
- Weight
- 223 KB
- Volume
- 6
- Category
- Article
- ISSN
- 0364-9024
No coin nor oath required. For personal study only.
✦ Synopsis
Abstract
Let G[H] denote the composition of the graphs G and H. If G can be decomposed into one‐factors and two‐factors, H can be decomposed into one‐factors, and H is not the empty graph on an odd number of vertices, then G[H] can be decomposed into one‐factors.
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