Rainbow k-connection in Dense Graphs (Extended Abstract)

@article{Fujita2011RainbowKI,
  title={Rainbow k-connection in Dense Graphs (Extended Abstract)},
  author={Shinya Fujita and Henry Liu and Colton Magnant},
  journal={Electronic Notes in Discrete Mathematics},
  year={2011},
  volume={38},
  pages={361-366}
}
An edge-colouring of a graph G is rainbow k-connected if, for any two vertices of G, there are k internally vertex-disjoint paths joining them, each of which is rainbow (i.e., all edges of each path have distinct colours). The minimum number of colours for which there exists a rainbow k-connected colouring for G is the rainbow k-connection number of G, and is denoted by rck(G). The function rck(G) was introduced by Chartrand et al. in 2008, and has since attracted considerable interest. In this… CONTINUE READING

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