English

Spectral radius and the 2-power of Hamilton paths

Combinatorics 2024-03-11 v1

Abstract

We determine the maximum number of a graph without containing the 2-power of a Hamilton path. Using this result, we establish a spectral condition for a graph containing the 2-power of a Hamilton path.

Keywords

Cite

@article{arxiv.2403.05040,
  title  = {Spectral radius and the 2-power of Hamilton paths},
  author = {Te Pi and Rui Sun and Long-Tu Yuan},
  journal= {arXiv preprint arXiv:2403.05040},
  year   = {2024}
}