English

Strictly $k$-colorable graphs

Combinatorics 2023-07-12 v1

Abstract

Xuding Zhu introduced a refined scale of choosability in 2020 and observed that the four color theorem is tight on this scale. We formalize and explore this idea of tightness in what we call strictly colorable graphs. We then characterize all strictly colorable complete multipartite graphs.

Keywords

Cite

@article{arxiv.2307.05461,
  title  = {Strictly $k$-colorable graphs},
  author = {Evan Leonard},
  journal= {arXiv preprint arXiv:2307.05461},
  year   = {2023}
}
R2 v1 2026-06-28T11:27:25.373Z