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Rainbow Connections of Graphs: A Survey

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Abstract

The concept of rainbow connection was introduced by Chartrand et al. [14] in 2008. It is interesting and recently quite a lot papers have been published about it. In this survey we attempt to bring together most of the results and papers that dealt with it. We begin with an introduction, and then try to organize the work into five categories, including (strong) rainbow connection number, rainbow k-connectivity, k-rainbow index, rainbow vertex-connection number, algorithms and computational complexity. This survey also contains some conjectures, open problems and questions.

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Authors and Affiliations

  1. Center for Combinatorics and LPMC-TJKLC, Nankai University, Tianjin, 300071, People’s Republic of China

    Xueliang Li, Yongtang Shi & Yuefang Sun

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  1. Xueliang Li
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  2. Yongtang Shi
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  3. Yuefang Sun
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Correspondence to Xueliang Li.

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This study was supported by NSFC No.11071130.

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Li, X., Shi, Y. & Sun, Y. Rainbow Connections of Graphs: A Survey. Graphs and Combinatorics 29, 1–38 (2013). https://doi.org/10.1007/s00373-012-1243-2

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