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The Alon-Tarsi number of planar graphs

Combinatorics 2017-11-30 v1

Abstract

This paper proves that the Alon-Tarsi number of any planar graph is at most 55, which gives an alternate proof of the 55-choosability as well as the 55-paintability of planar graphs.

Keywords

Cite

@article{arxiv.1711.10817,
  title  = {The Alon-Tarsi number of planar graphs},
  author = {Xuding Zhu},
  journal= {arXiv preprint arXiv:1711.10817},
  year   = {2017}
}

Comments

0 figures, 7 pages