• Corpus ID: 208248424

Kempe Chains and Rooted Minors

@article{Kriesell2019KempeCA,
  title={Kempe Chains and Rooted Minors},
  author={Matthias Kriesell and Samuel Mohr},
  journal={arXiv: Combinatorics},
  year={2019}
}
A (minimal) transversal of a partition is a set which contains exactly one element from each member of the partition and nothing else. A coloring of a graph is a partition of its vertex set into anticliques, that is, sets of pairwise nonadjacent vertices. We study the following problem: Given a transversal $T$ of a proper coloring $\mathfrak{C}$ of some graph $G$, is there a partition $\mathfrak{H}$ of a subset of $V(G)$ into connected sets such that $T$ is a transversal of $\mathfrak{H}$ and… 

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