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- W2051226103 abstract "The heterochromatic tree partition number of an r-edge-colored graph G, denoted by tr(G), is the minimum positive integer p such that whenever the edges of the graph G are colored with r colors, the vertices of G can be covered by at most p vertex disjoint heterochromatic trees. In this paper, we give an explicit formula for the heterochromatic tree partition number tr(Kn1,n2,n3) of an r-edge-colored complete tripartite graph Kn1,n2,n3. Given an r-edge-colored complete tripartite graph Kn1,n2,n3, based on the proof of the formula, we can find at most tr(Kn1,n2,n3) vertex disjoint heterochromatic trees which together cover all the vertices of Kn1,n2,n3." @default.
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- W2051226103 date "2012-02-01" @default.
- W2051226103 modified "2023-09-27" @default.
- W2051226103 title "Heterochromatic tree partition problem in complete tripartite graphs" @default.
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- W2051226103 doi "https://doi.org/10.1016/j.disc.2011.11.005" @default.
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