For two integers a and b, we say that a bipartite graph G admits an (a, b)bipartition if G has a bipartition (X, Y ) such that |X| = a and |Y | = b. We say that two bipartite graphs G and H are compatible if, for some integers a and b, both G and H admit (a, b)-bipartitions. In this paper, we prove
A note on packing trees into complete bipartite graphs and on fishburn's conjecture
β Scribed by Y. Caro; Y. Rodity
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 212 KB
- Volume
- 82
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
β¦ Synopsis
In this note we improve significantly the result appeared in [4] by showing that any sequence of trees { T2, 'I;, . , T,} can be packed into the complete bipartite graph K,_,,n,z (n even) for f = 0.3n. Furthermore we support Fishburn's Conjecture [2] by showing that any sequence {T,, T4,
π SIMILAR VOLUMES
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