English

Hamiltonicity in Semi-Regular Tessellation Dual Graphs

Computational Complexity 2019-10-01 v1 Computational Geometry

Abstract

This paper shows NP-completeness for finding Hamiltonian cycles in induced subgraphs of the dual graphs of semi-regular tessilations. It also shows NP-hardness for a new, wide class of graphs called augmented square grids. This work follows up on prior studies of the complexity of finding Hamiltonian cycles in regular and semi-regular grid graphs.

Keywords

Cite

@article{arxiv.1909.13755,
  title  = {Hamiltonicity in Semi-Regular Tessellation Dual Graphs},
  author = {Divya Gopinath and Rohan Kodialam and Kevin Lu and Jayson Lynch and Santiago Ospina},
  journal= {arXiv preprint arXiv:1909.13755},
  year   = {2019}
}
R2 v1 2026-06-23T11:30:23.152Z