English

Hamilton cycles in line graphs of 3-hypergraphs

Combinatorics 2022-05-23 v3

Abstract

We prove that every 52-connected line graph of a rank 3 hypergraph is Hamiltonian. This is the first result of this type for hypergraphs of bounded rank other than ordinary graphs.

Keywords

Cite

@article{arxiv.2201.13115,
  title  = {Hamilton cycles in line graphs of 3-hypergraphs},
  author = {Tomáš Kaiser and Petr Vrána},
  journal= {arXiv preprint arXiv:2201.13115},
  year   = {2022}
}
R2 v1 2026-06-24T09:10:23.968Z