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題名 Spanning Forests on the Sierpinski Gasket
作者 張書銓
Chang, Shu-Chiuan
陳隆奇
Lung-Chi Chen
貢獻者 應數系
日期 2008.11
上傳時間 13-十一月-2014 17:22:27 (UTC+8)
摘要 We present the numbers of spanning forests on the Sierpinski gasket $SG_d(n)$ at stage $n$ with dimension $d$ equal to two, three and four, and determine the asymptotic behaviors. The corresponding results on the generalized Sierpinski gasket $SG_{d,b}(n)$ with $d=2$ and $b=3,4$ are obtained. We also derive the upper bounds of the asymptotic growth constants for both $SG_d$ and $SG_{2,b}$.
關聯 Discrete Mathematics & Theoretical Computer Science, 10(2), 55-76
資料類型 article
dc.contributor 應數系en_US
dc.contributor -
dc.creator (作者) 張書銓zh_TW
dc.creator (作者) Chang, Shu-Chiuanen_US
dc.creator (作者) 陳隆奇zh_TW
dc.creator (作者) Lung-Chi Chenen_US
dc.date (日期) 2008.11en_US
dc.date.accessioned 13-十一月-2014 17:22:27 (UTC+8)-
dc.date.available 13-十一月-2014 17:22:27 (UTC+8)-
dc.date.issued (上傳時間) 13-十一月-2014 17:22:27 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/71416-
dc.description.abstract (摘要) We present the numbers of spanning forests on the Sierpinski gasket $SG_d(n)$ at stage $n$ with dimension $d$ equal to two, three and four, and determine the asymptotic behaviors. The corresponding results on the generalized Sierpinski gasket $SG_{d,b}(n)$ with $d=2$ and $b=3,4$ are obtained. We also derive the upper bounds of the asymptotic growth constants for both $SG_d$ and $SG_{2,b}$.en_US
dc.format.extent 279035 bytes-
dc.format.mimetype application/pdf-
dc.language.iso en_US-
dc.relation (關聯) Discrete Mathematics & Theoretical Computer Science, 10(2), 55-76en_US
dc.title (題名) Spanning Forests on the Sierpinski Gasketen_US
dc.type (資料類型) articleen