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In this paper,the Fibonacci sequence is first generalized,and then the algorithm proposed by theauthor is developed.Both production and recursion formulas describing the algorithm are ob-tained.Then two expressions for enumerating all Hamiltonian cycles in the two kinds of maximumplanar graphs are derived for the first time.
In this paper, the Fibonacci sequence is first generalized, and then the algorithm proposed by theauthor is developed.Both production and recursion formulas describing the algorithm are ob-tained.Then two expressions for enumerating all Hamiltonian cycles in the two kinds of maximumplanar graphs are derived for the first time.