Ascending subgraph decompositions of regular graphs
β Scribed by Hung-Lin Fu; Wei-Hsin Hu
- Book ID
- 108315736
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 98 KB
- Volume
- 253
- Category
- Article
- ISSN
- 0012-365X
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π SIMILAR VOLUMES
In this paper we discuss isomorphic decompositions of regular bipartite graphs into trees and forests. We prove that: (1) there is a wide class of r-regular bipartite graphs that are decomposable into any tree of size r, (2) every r-regular bipartite graph decomposes into any double star of size r,
## Abstract Kotzig asked in 1979 what are necessary and sufficient conditions for a __d__βregular simple graph to admit a decomposition into paths of length __d__ for odd __d__>3. For cubic graphs, the existence of a 1βfactor is both necessary and sufficient. Even more, each 1βfactor is extendable