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ON THE THEOREM OF GENERATING HAMILTONIAN CYCLES AND ITS APPLICATIONS |
Lu Sheng-xun |
Hangzhou University |
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Abstract In this paper the study of the algorithm which has been done by the author for generating all the Hamiltonian cycles in a graph by a method of Wang algebra is continued. For simplifing the algorithm, a theorem of the constraint of degrees in the Wang s product is presented and for avoiding unnecessary repetitions in the algorithm some modified procedures are given.Finally, the application of the algorithm in layout design is discussed.
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