Spanning trees on the Sierpinski gasket

Shu Chiuan Chang; Lung Chi Chen; Wei Shih Yang

doi:10.1007/s10955-006-9262-0

Spanning trees on the Sierpinski gasket

Shu Chiuan Chang, Lung Chi Chen, Wei Shih Yang

Department of Physics

Research output: Contribution to journal › Article › peer-review

101 Citations (Scopus)

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.

Original language	English
Pages (from-to)	649-667
Number of pages	19
Journal	Journal of Statistical Physics
Volume	126
Issue number	3
DOIs	https://doi.org/10.1007/s10955-006-9262-0
Publication status	Published - 2007 Feb

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

Access to Document

10.1007/s10955-006-9262-0

Cite this

@article{d994ede4e65c45a998b16153425159ed,

title = "Spanning trees on the Sierpinski gasket",

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.",

author = "Chang, {Shu Chiuan} and Chen, {Lung Chi} and Yang, {Wei Shih}",

year = "2007",

month = feb,

doi = "10.1007/s10955-006-9262-0",

language = "English",

volume = "126",

pages = "649--667",

journal = "Journal of Statistical Physics",

issn = "0022-4715",

publisher = "Springer New York",

number = "3",

}

TY - JOUR

T1 - Spanning trees on the Sierpinski gasket

AU - Chang, Shu Chiuan

AU - Chen, Lung Chi

AU - Yang, Wei Shih

PY - 2007/2

Y1 - 2007/2

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=33847185591&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33847185591&partnerID=8YFLogxK

U2 - 10.1007/s10955-006-9262-0

DO - 10.1007/s10955-006-9262-0

M3 - Article

AN - SCOPUS:33847185591

SN - 0022-4715

VL - 126

SP - 649

EP - 667

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

IS - 3

ER -

Spanning trees on the Sierpinski gasket

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this