• Communications of the Korean Mathematical Society
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• v.31 no.2
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• pp.263-275
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• 2016

Quantum graph of Sierpinski gasket type with attached leads in an electric eld is considered. We study the dependence of the transmission coecient via the wave number of the quantum particle. It has strongly resonance character. The in uence of the amplitude and the orientation of the electric eld on the coecient is investigated.

• Journal of Advanced Navigation Technology
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• v.14 no.6
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• pp.975-983
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• 2010

In this paper, we introduce extended problems of Tower of Hanoi (ToH) and propose a novel visualization method to express a state space of ToH. As for the extended problems, we introduce multi-peg ToH, multi-stack ToH, and regular state ToH. The novel visualization method in this paper is a natural extension of Hanoi graph visualization. In the proposed method, we assign one Cartesian coordinate point per each disk to provide an unified visualization that the marks on a link and the changes of a state should correspond with a peg position of a disk. Compared with Hanoi graph, the generated graph by the proposed method is isomorphic if we remove links of forbidden move, which indicates that our method is a generalization of Hanoi graph and thus is more expressive. To help the understanding of the readers, we show the generated graphs by our method when the number of disks is 2 and 3.