Rainbow connections of graphs -- A survey

Details Rainbow connections of graphs -- A survey Rainbow connections of graphs -- A survey

2011-01-30

arxiv.org/abs/1101.5747v2

Mathematics

Combinatorics

34 pages

Scientific paper

The concept of rainbow connection was introduced by Chartrand et al. in 2008. It is fairly 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 or questions.

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