English

A note on kernel-perfect orientations and DP-colorings from derangement assignments

Combinatorics 2024-07-16 v1

Abstract

We prove a generalization of the well-known Bondy-Bopanna-Siegel Lemma to DP-colorings from a class of correspondence assignments which we call derangement assignments. Since DP-colorings from derangement assignments generalize zero-free list colorings of signed graphs, this yields an orientation theorem for zero-free signed list colorings, as well.

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Cite

@article{arxiv.2407.10007,
  title  = {A note on kernel-perfect orientations and DP-colorings from derangement assignments},
  author = {Ian Gossett},
  journal= {arXiv preprint arXiv:2407.10007},
  year   = {2024}
}

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6 pages