Please use this identifier to cite or link to this item:
https://ah.lib.nccu.edu.tw/handle/140.119/71422
DC Field | Value | Language |
---|---|---|
dc.contributor | 應數系 | en_US |
dc.creator | 陳隆奇 | zh_TW |
dc.creator | Chen, Lung-Chi | en_US |
dc.date | 2011-09 | en_US |
dc.date.accessioned | 2014-11-13T09:23:44Z | - |
dc.date.available | 2014-11-13T09:23:44Z | - |
dc.date.issued | 2014-11-13T09:23:44Z | - |
dc.identifier.uri | http://nccur.lib.nccu.edu.tw/handle/140.119/71422 | - |
dc.description.abstract | We derive exactly the number of Hamiltonian paths H(n) on the two dimensional Sierpinski gasket SG(n) at stage n, whose asymptotic behavior is given by 3√(23√)3n−13×(52×72×172212×35×13)(16)n. We also obtain the number of Hamiltonian paths with one end at a certain outmost vertex of SG(n), with asymptotic behavior 3√(23√)3n−13×(7×1724×33)4n. The distribution of Hamiltonian paths on SG(n) with one end at a certain outmost vertex and the other end at an arbitrary vertex of SG(n) is investigated. We rigorously prove that the exponent for the mean ℓ displacement between the two end vertices of such Hamiltonian paths on SG(n) is ℓlog2/log3 for ℓ>0. | en_US |
dc.format.extent | 312441 bytes | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | en_US | - |
dc.relation | J. Math. Phys. 52, 023301 (2011) | en_US |
dc.title | Hamiltonian walks on the Sierpinski gasket | en_US |
dc.type | article | en |
dc.identifier.doi | 10.1063/1.3545358 | - |
dc.doi.uri | http://dx.doi.org/10.1063/1.3545358 | - |
item.languageiso639-1 | en_US | - |
item.openairetype | article | - |
item.fulltext | With Fulltext | - |
item.grantfulltext | restricted | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.cerifentitytype | Publications | - |
Appears in Collections: | 期刊論文 |
Files in This Item:
File | Size | Format | |
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Hamiltonian.pdf | 305.12 kB | Adobe PDF2 | View/Open |
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