Packing Three Copies of a Tree into a Complete Bipartite Graph
โ Scribed by Hong Wang
- Publisher
- Springer
- Year
- 2009
- Tongue
- English
- Weight
- 181 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0218-0006
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๐ SIMILAR VOLUMES
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 graph of order n is said to be 3-placeable if there are three edge-disjoint copies of this graph in K,,. An ( n , n -1)-graph is a graph of order n with n -1 edges. In this paper w e characterize all the (n, n -1)-graphs which contain no cycles of length 3 or 4 and which are 3-placeable.
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 /XI = 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 note, w
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,