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Ascending subgraph decompositions of regular graphs

✍ 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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πŸ“œ SIMILAR VOLUMES


Decompositions of regular bipartite grap
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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,

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## Abstract Kotzig asked in 1979 what are necessary and sufficient conditions for a __d__‐regular simple graph to admit a decomposition into paths of length __d__ for odd __d__>3. For cubic graphs, the existence of a 1‐factor is both necessary and sufficient. Even more, each 1‐factor is extendable