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A Study on the Computation of the Number of Equivalence Classes and Its applications

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Author(s)
Wonsok Yoo
Issued Date
2020
Keyword
Equivalence Classes Burnside's theorem Pattern Action Cycle Index
Abstract
In this paper, we study on the reinterpretation of Burnside's theorem that is a tool to compute the number of equivalence classes of a group action on a set, and by applying it, we find out the numbers of different patterns in coloring problems of various types of figures with symmetry and use them for computing the numbers of different kinds of chemical compounds.
Publisher
조선대학교 기초과학연구원
Citation
Wonsok Yoo. (2020). A Study on the Computation of the Number of Equivalence Classes and Its applications, 조선자연과학논문집 | Vol.13, No.1 p.19 ~ p.26
Type
Laboratory article
ISSN
2005-1042
URI
http://oak.chosun.ac.kr/handle/2020.oak/16413
http://www.chosun.ac.kr/user/indexSub.do?codyMenuSeq=24427455&siteId=ricns&dum=dum&boardId=175013&page=1&command=view&boardSeq=315147&categoryId=315118&categoryDepth=00140001
Appears in Collections:
2020 > Vol.13, No.1
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