English

On planar regular graphs degree three without Hamiltonian cycles

Combinatorics 2009-08-19 v1

Abstract

Necessary condition to have Hamiltonian cycle in planar graph is given. Examples of regular planar graphs degree three without Hamiltonian cycle are built.

Keywords

Cite

@article{arxiv.0908.2563,
  title  = {On planar regular graphs degree three without Hamiltonian cycles},
  author = {Emanuels Grinbergs},
  journal= {arXiv preprint arXiv:0908.2563},
  year   = {2009}
}

Comments

Emanuel Grinberg's article written before 1968. Emanuels Grinbergs (1911-1982) published this article in Russian in the Latvian Mathematical Annals, vol 4, 1968, pp 51-58, translated into English by Dainis Zeps

R2 v1 2026-06-21T13:36:29.489Z