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Some results on the rainbow vertex-disconnection colorings of graphs
Yindi Weng
Let be a nontrivial connected and vertex-colored graph. A vertex subset is called rainbow if any two vertices in have distinct colors. The graph is called \emph{rai…
Further results on the rainbow vertex-disconnection of graphs
Xueliang Li, Yindi Weng
Let be a nontrivial connected and vertex-colored graph. A subset of the vertex set of is called rainbow if any two vertices in have distinct colors. The graph i…
Complexity results for two kinds of colored disconnections of graphs
You Chen, Ping Li, Xueliang Li +1
The concept of rainbow disconnection number of graphs was introduced by Chartrand et al. in 2018. Inspired by this concept, we put forward the concepts of rainbow vertex-disconnect…
Proper disconnection of graphs
Xuqing Bai, You Chen, Meng Ji +3
For an edge-colored graph , a set of edges of is called a \emph{proper cut} if is an edge-cut of and any pair of adjacent edges in are assigned by different…