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https://ah.lib.nccu.edu.tw/handle/140.119/71416
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 | 上傳時間: | 13-十一月-2014 | 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 |
Appears in Collections: | 期刊論文 |
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