An algorithm for finding Hamiltonian Cycles in Cubic Planar Graphs
Combinatorics
2015-12-07 v1
Abstract
We first prove a one-to-one correspondence between finding Hamiltonian cycles in a cubic planar graphs and finding trees with specific properties in dual graphs. Using this information, we construct an exact algorithm for finding Hamiltonian cycles in cubic planar graphs. The worst case time complexity of our algorithm is O.
Cite
@article{arxiv.1512.01324,
title = {An algorithm for finding Hamiltonian Cycles in Cubic Planar Graphs},
author = {Bohao Yao and Charl Ras and Hamid Mokhtar},
journal= {arXiv preprint arXiv:1512.01324},
year = {2015}
}