Partitioning complete graphs by heterochromatic trees
β Scribed by Ze-min Jin, Xue-liang Li
- Book ID
- 118792885
- Publisher
- Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
- Year
- 2012
- Tongue
- English
- Weight
- 194 KB
- Volume
- 28
- Category
- Article
- ISSN
- 0168-9673
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
The tree partition number of an r-edge-colored graph G, denoted by t r (G), is the minimum number k such that whenever the edges of G are colored with r colors, the vertices of G can be covered by at most k vertex-disjoint monochromatic trees. We determine t 2 (K (n 1 ; n 2 ; . . . ; n k )) of the c
For every positive integer r there exists a constant C r depending only on r such that for every colouring of the edges of the complete bipartite graph K n, n with r colours, there exists a set of at most C r monochromatic cycles whose vertex sets partition the vertex set of K n, n . This answers a
A (D, c)-coloring of the complete graph K" is a coloring of the edges with c colors such that all monochromatic connected subgraphs have at most D vertices. Resolvable block designs with c parallel classes and with block size D are natural examples of (D, c)-colorings. However, (D, c)-colorings are