Partitioning complete multipartite graphs by monochromatic trees
نویسندگان
چکیده
The tree partition number of an r-edge-colored graph G, denoted by tr(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 t2(K(n1, n2, . . . , nk)) of the complete k-partite graph K(n1, n2, . . . , nk). In particular, we prove that t2(K(n,m)) = (m − 2)/2n + 2, where 1 ≤ n ≤ m.
منابع مشابه
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ورودعنوان ژورنال:
- Journal of Graph Theory
دوره 48 شماره
صفحات -
تاریخ انتشار 2005