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On rainbow-k-connectivity of random graphs
Rainbow connectivity Random graph Graph algorithms Sharp threshold function Probabilistic method
2012/12/4
A path in an edge-colored graph is called a rainbow path if the edges on it have distinct colors. For k 1, the rainbow-k-connectivity of a graph G, denoted by rck(G), is the minimum number of colors...
On the connectivity of the realization spaces of line arrangements
realization spaces of line arrangements
2010/11/26
We prove that under certain combinatorial conditions, the realization spaces of line arrangements on the complex projective plane are connected. We also give several examples of arrangements with eigh...