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PreprintarXiv licencearXiv

Minimal Cayley graphs with large chromatic number

Abstract

Resolving Babai's minimal Cayley graph problem, we construct finite minimal Cayley graphs with arbitrarily large chromatic number.

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BibTeX
@misc{davies2026minimal,
  title = {{Minimal Cayley graphs with large chromatic number}},
  author = {James Davies and Meike Hatzel and Liana Yepremyan},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2608.06254},
  eprint = {2608.06254},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.06254},
}
RIS
TY  - UNPB
TI  - Minimal Cayley graphs with large chromatic number
AU  - James Davies
AU  - Meike Hatzel
AU  - Liana Yepremyan
PY  - 2026
DA  - 2026/10/13
PB  - arXiv
DO  - 10.48550/arxiv.2608.06254
UR  - https://arxiv.org/abs/2608.06254
AB  - Resolving Babai's minimal Cayley graph problem, we construct finite minimal Cayley graphs with arbitrarily large chromatic number.
ER  -