Ryuichi Mori

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In this paper, we shall prove that any two Hamiltonian triangulations on the sphere with n 5 vertices can be transformed into each other by at most 4n 20 diagonal flips, preserving the existence of Hamilton cycles. Moreover, using this result, we shall prove that at most 6n 30 diagonal flips are needed for any two triangulations on the sphere with n(More)
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