
doi: 10.37236/4510
A dynamic programming method for enumerating hamiltonian cycles in arbitrary graphs is presented. The method is applied to grid graphs, king's graphs, triangular grids, and three-dimensional grid graphs, and results are obtained for larger cases than previously published. The approach can easily be modified to enumerate hamiltonian paths and other similar structures.
dynamic programming, ta113, Eulerian and Hamiltonian graphs, ta213, ta111, Programming involving graphs or networks, Enumeration in graph theory, Dynamic programming, Hamiltonian cycles, enumeration, Graph algorithms (graph-theoretic aspects), Paths and cycles, ta512
dynamic programming, ta113, Eulerian and Hamiltonian graphs, ta213, ta111, Programming involving graphs or networks, Enumeration in graph theory, Dynamic programming, Hamiltonian cycles, enumeration, Graph algorithms (graph-theoretic aspects), Paths and cycles, ta512
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