Acyclic orientations on the generalized two-dimensional Sierpinski gasket

Shu-Chiuan Chang

doi:10.1063/1.3636778

Acyclic orientations on the generalized two-dimensional Sierpinski gasket

Shu-Chiuan Chang

Department of Physics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

We study the number of acyclic orientations on the generalized two-dimensional Sierpinski gasket SG_b(n) at stage n with b equal to two and three, and determine the asymptotic behaviors. We also derive upper bounds for the asymptotic growth constants.

Original language	English
Title of host publication	Numerical Analysis and Applied Mathematics, ICNAAM 2011 - International Conference on Numerical Analysis and Applied Mathematics
Pages	515-518
Number of pages	4
DOIs	https://doi.org/10.1063/1.3636778
Publication status	Published - 2011 Nov 28
Event	International Conference on Numerical Analysis and Applied Mathematics: Numerical Analysis and Applied Mathematics, ICNAAM 2011 - Halkidiki, Greece Duration: 2011 Sept 19 → 2011 Sept 25

Publication series

Name	AIP Conference Proceedings
Volume	1389
ISSN (Print)	0094-243X
ISSN (Electronic)	1551-7616

Other

Other	International Conference on Numerical Analysis and Applied Mathematics: Numerical Analysis and Applied Mathematics, ICNAAM 2011
Country/Territory	Greece
City	Halkidiki
Period	11-09-19 → 11-09-25

All Science Journal Classification (ASJC) codes

Physics and Astronomy(all)

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10.1063/1.3636778

Cite this

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title = "Acyclic orientations on the generalized two-dimensional Sierpinski gasket",

abstract = "We study the number of acyclic orientations on the generalized two-dimensional Sierpinski gasket SGb(n) at stage n with b equal to two and three, and determine the asymptotic behaviors. We also derive upper bounds for the asymptotic growth constants.",

author = "Shu-Chiuan Chang",

year = "2011",

month = nov,

day = "28",

doi = "10.1063/1.3636778",

language = "English",

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series = "AIP Conference Proceedings",

pages = "515--518",

booktitle = "Numerical Analysis and Applied Mathematics, ICNAAM 2011 - International Conference on Numerical Analysis and Applied Mathematics",

note = "International Conference on Numerical Analysis and Applied Mathematics: Numerical Analysis and Applied Mathematics, ICNAAM 2011 ; Conference date: 19-09-2011 Through 25-09-2011",

}

Chang, S-C 2011, Acyclic orientations on the generalized two-dimensional Sierpinski gasket. in Numerical Analysis and Applied Mathematics, ICNAAM 2011 - International Conference on Numerical Analysis and Applied Mathematics. AIP Conference Proceedings, vol. 1389, pp. 515-518, International Conference on Numerical Analysis and Applied Mathematics: Numerical Analysis and Applied Mathematics, ICNAAM 2011, Halkidiki, Greece, 11-09-19. https://doi.org/10.1063/1.3636778

Acyclic orientations on the generalized two-dimensional Sierpinski gasket. / Chang, Shu-Chiuan.

Numerical Analysis and Applied Mathematics, ICNAAM 2011 - International Conference on Numerical Analysis and Applied Mathematics. 2011. p. 515-518 (AIP Conference Proceedings; Vol. 1389).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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Acyclic orientations on the generalized two-dimensional Sierpinski gasket

Abstract

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Other

All Science Journal Classification (ASJC) codes

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