The Hamiltonian path problem for general grid graphs is known to be NP-complete. In this paper, we give necessary and sufficient conditions for the existence of Hamiltonian paths in L-alphabet, C-alphabet, F-alphabet, and E-alphabet grid graphs. We also present linear-time algorithms for finding Hamiltonian paths in these graphs. Copyright © 2012 Fatemeh Keshavarz-Kohjerdi and Alireza Bagheri.
CITATION STYLE
Keshavarz-Kohjerdi, F., & Bagheri, A. (2012). Hamiltonian paths in some classes of grid graphs. Journal of Applied Mathematics, 2012. https://doi.org/10.1155/2012/475087
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