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政大機構典藏 > 理學院 > 應用數學系 > 期刊論文 > Item 140.119/71417

Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/71417

Title:	Number of connected spanning subgraphs on the Sierpinski gasket
Authors:	張書銓 Chang, Shu-Chiuan 陳隆奇 Lung-Chi Chen
Contributors:	應數系
Date:	2009.04
Issue Date:	2014-11-13 17:22:40 (UTC+8)
Abstract:	We study the number of connected spanning subgraphs fd,b(n) on the generalized Sierpinski gasket SGd,b(n) at stage n with dimension d equal to two, three and four for b=2, and layer b equal to three and four for d=2. The upper and lower bounds for the asymptotic growth constant, defined as zSGd,b=limv →∞ ln fd,b(n)/v where v is the number of vertices, on SG2,b(n) with b=2,3,4 are derived in terms of the results at a certain stage. The numerical values of zSGd,b are obtained.
Relation:	Discrete Mathematics & Theoretical Computer Science, 11(1), 55-78
Data Type:	article
Appears in Collections:	[應用數學系] 期刊論文

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