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Rotation numbers for complete tripartite graphs

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Abstract

Arooted graph is a pair (G, x), whereG is a simple undirected graph andx ∈ V(G). IfG is rooted atx, then itsrotation number h(G, x) is the minimum number of edges in a graphF of the same order asG such that for allv ∈ V(F), we can find a copy ofG inF with the rootx atv. Rotation numbers for all complete bipartite graphs are now known (see [2], [4], [7]). In this paper we calculate rotation numbers for complete tripartite graphs with rootx in the largest vertex class.

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References

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Haviland, J., Thomason, A. Rotation numbers for complete tripartite graphs. Graphs and Combinatorics 7, 153–163 (1991). https://doi.org/10.1007/BF01788140

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