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The rainbow -connectivity of two classes of graphs
Xueliang Li, Yuefang Sun
A path in an edge-colored graph , where adjacent edges may be colored the same, is called a rainbow path if no two edges of are colored the same. For a -connected graph $…
Sharp bounds for the generalized connectivity
Shasha Li, Xueliang Li, Wenli Zhou
Let be a nontrivial connected graph of order and let be an integer with . For a set of vertices of , let denote the maximum number $\el…
Complete Solution for the Rainbow Numbers of Matchings
He Chen, Xueliang Li, Jianhua Tu
For a given graph and , let denote the maximum number for which there is a way to color the edges of the complete graph with colors such that ev…
Bipartite Rainbow Numbers of Matchings
Xueliang Li, Jianhua Tu, Zemin Jin
Given two graphs and , let denote the maximum number for which there is a way to color the edges of with colors such that every subgraph of has…