English

A short note on graphs with long Thomason's chains

Combinatorics 2021-09-28 v2

Abstract

We present a family of 3-connected cubic planar Hamiltonian graphs with an exponential number of steps required by Thomason's algorithm. The base of the exponent is approximately 1.1812...1.1812..., which exceeds previous results in the area.

Cite

@article{arxiv.1903.02515,
  title  = {A short note on graphs with long Thomason's chains},
  author = {Marcin Briański and Adam Szady},
  journal= {arXiv preprint arXiv:1903.02515},
  year   = {2021}
}

Comments

9 pages, 13 figures

R2 v1 2026-06-23T08:00:11.046Z