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Partitioning 2-edge-colored complete multipartite graphs into monochromatic cycles, paths and trees

โœ Scribed by Zemin Jin; Mikio Kano; Xueliang Li; Bing Wei


Publisher
Springer US
Year
2006
Tongue
English
Weight
252 KB
Volume
11
Category
Article
ISSN
1382-6905

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Partitioning complete multipartite graph
โœ Atsushi Kaneko; M. Kano; Kazuhiro Suzuki ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 102 KB

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