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A Survey On Monochromatic Connections Of Graphs, Xueliang Li, Di Wu
A Survey On Monochromatic Connections Of Graphs, Xueliang Li, Di Wu
Theory and Applications of Graphs
The concept of monochromatic connection of graphs was introduced by Caro and Yuster in 2011. Recently, a lot of results have been published about it.
In this survey, we attempt to bring together all the results that dealt with it.
We begin with an introduction, and then classify the results into the following categories: monochromatic connection coloring of edge-version, monochromatic connection coloring of vertex-version, monochromatic index, monochromatic connection coloring of total-version.
An Updated Survey On Rainbow Connections Of Graphs - A Dynamic Survey, Xueliang Li, Yuefang Sun
An Updated Survey On Rainbow Connections Of Graphs - A Dynamic Survey, Xueliang Li, Yuefang Sun
Theory and Applications of Graphs
The concept of rainbow connection was introduced by Chartrand, Johns, McKeon and Zhang in 2008. Nowadays it has become a new and active subject in graph theory. There is a book on this topic by Li and Sun in 2012, and a survey paper by Li, Shi and Sun in 2013. More and more researchers are working in this field, and many new papers have been published in journals. In this survey we attempt to bring together most of the new results and papers that deal with this topic. We begin with an introduction, and then try to organize the …