English

Nash Williams Conjecture and the Dominating Cycle Conjecture

Combinatorics 2015-08-12 v3

Abstract

The disproved Nash Williams conjecture states that every 4-regular 4-connected graph has a hamiltonian cycle. We show that a modification of this conjecture is equivalent to the Dominating Cycle Conjecture.

Keywords

Cite

@article{arxiv.1305.3951,
  title  = {Nash Williams Conjecture and the Dominating Cycle Conjecture},
  author = {Arthur Hoffmann-Ostenhof},
  journal= {arXiv preprint arXiv:1305.3951},
  year   = {2015}
}
R2 v1 2026-06-22T00:17:56.065Z