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政大典藏 > College of Science > Department of Mathematical Sciences > Periodical Articles > Item 140.119/71412

Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/71412

Title:	Spanning Tree on Sierpinski Gasket
Authors:	張書銓 Chang, Shu-Chiuan 陳隆奇 Chen, Lung-Chi 楊維適 Yang, Wei-Shih
Contributors:	應數系
Keywords:	Spanning trees;Sierpinski gasket;exact solutions
Date:	2007.03
Issue Date:	2014-11-13 17:21:26 (UTC+8)
Abstract:	We present the numbers of spanning trees on the Sierpinski gasket SG d (n) at stage n with dimension d equal to two, three and four. The general expression for the number of spanning trees on SG d (n) with arbitrary d is conjectured. The numbers of spanning trees on the generalized Sierpinski gasket SG d,b (n) with d = 2 and b = 3,4 are also obtained.
Relation:	Journal of Statistical Physics, 126(3), 649-667
Data Type:	article
Appears in Collections:	[Department of Mathematical Sciences] Periodical Articles

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