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PreprintCC BY 4.0arXiv

On Kahn's flow conjecture

Abstract

We prove Kahn's flow conjecture, which is a strong form of Chvátal's conjecture on the largest intersecting subfamily of a downset.

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BibTeX
@misc{keevash2026kahns,
  title = {{On Kahn's flow conjecture}},
  author = {Peter Keevash},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.23595},
  eprint = {2609.23595},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.23595},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - On Kahn's flow conjecture
AU  - Peter Keevash
PY  - 2026
DA  - 2026/09/20
PB  - arXiv
DO  - 10.48550/arxiv.2609.23595
UR  - https://arxiv.org/abs/2609.23595
AB  - We prove Kahn's flow conjecture, which is a strong form of Chvátal's conjecture on the largest intersecting subfamily of a downset.
ER  -