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PreprintCC BY 4.0arXiv

Geometric triangle-free graphs of large chromatic number

Abstract

We present several geometric constructions of graphs with rapidly growing chromatic numbers, most of which are triangle-free or have large girth.

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BibTeX
@misc{tomon2026geometric,
  title = {{Geometric triangle-free graphs of large chromatic number}},
  author = {István Tomon},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.03517},
  eprint = {2610.03517},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.03517},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Geometric triangle-free graphs of large chromatic number
AU  - István Tomon
PY  - 2026
DA  - 2026/10/06
PB  - arXiv
DO  - 10.48550/arxiv.2610.03517
UR  - https://arxiv.org/abs/2610.03517
AB  - We present several geometric constructions of graphs with rapidly growing chromatic numbers, most of which are triangle-free or have large girth.
ER  -