English

The Hamiltonian properties of rectangular meshes with at most two faulty nodes

Combinatorics 2025-01-22 v1

Abstract

In this paper we consider the Hamilton cycle problem in the rectangular meshes with at most two faulty nodes.We prove that this problem is solvable in polynomial time with a corresponding algorithm. We provided an entirely new approach to this problem being different from the method early used on this problem.

Keywords

Cite

@article{arxiv.2501.11832,
  title  = {The Hamiltonian properties of rectangular meshes with at most two faulty nodes},
  author = {Yingtai Xie},
  journal= {arXiv preprint arXiv:2501.11832},
  year   = {2025}
}