Hamiltonicity in Semi-Regular Tessellation Dual Graphs

Divya Gopinath; Rohan Kodialam; Kevin Lu; Jayson Lynch; Santiago Ospina

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arXiv · 1909.13755

Hamiltonicity in Semi-Regular Tessellation Dual Graphs

Divya Gopinath·Rohan Kodialam·Kevin Lu·Jayson Lynch·Santiago Ospina

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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.

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Divya Gopinath, Rohan Kodialam, Kevin Lu, Jayson Lynch, Santiago Ospina. 2019-09-30. Hamiltonicity in Semi-Regular Tessellation Dual Graphs. https://arxiv.org/abs/1909.13755

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