Rooted Complete Minors in Line Graphs with a Kempe Coloring

@article{Kriesell2019RootedCM,
  title={Rooted Complete Minors in Line Graphs with a Kempe Coloring},
  author={Matthias Kriesell and Samuel Mohr},
  journal={Graphs and Combinatorics},
  year={2019},
  volume={35},
  pages={551-557}
}
It has been conjectured that if a finite graph has a vertex coloring such that the union of any two color classes induces a connected graph, then for every set T of vertices containing exactly one member from each color class there exists a complete minor such that T contains exactly one member from each branching set. Here we prove the statement for line graphs. 

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