Graphs and Combinatorics

, Volume 7, Issue 2, pp 153–163 | Cite as

Rotation numbers for complete tripartite graphs

  • Julie Haviland
  • Andrew Thomason
Original Papers

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.

Keywords

Bipartite Graph Undirected Graph Rotation Number Complete Bipartite Graph Tripartite Graph 

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References

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Copyright information

© Springer-Verlag 1991

Authors and Affiliations

  • Julie Haviland
    • 1
  • Andrew Thomason
    • 1
  1. 1.Department of Pure Mathematics and Mathematical StatisticsCambridgeEngland

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