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Rainbow K-Connection In Dense Graphs
Electronic Notes in Discrete Mathematics
  • Shinya Fujita, Maebashi Institute of Technology
  • Henry Liu, Universidade Nova de Lisboa Quinta da Torre
  • Colton Magnant, Georgia Southern University
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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 note, we shall consider the function rck(G) for complete bipartite and multipartite graphs, highly connected graphs, and random graphs.

Citation Information
Shinya Fujita, Henry Liu and Colton Magnant. "Rainbow K-Connection In Dense Graphs" Electronic Notes in Discrete Mathematics Vol. 38 Iss. 1 (2011) p. 361 - 366 ISSN: 1571-0653
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