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A Study on the Computation of the Number of Equivalence Classes and Its applicationsA Study on the Computation of the Number of Equivalence Classes and Its applications
- Other Titles
- A Study on the Computation of the Number of Equivalence Classes and Its applications
- Authors
- 유원석
- Issue Date
- Mar-2020
- Publisher
- 조선대학교 기초과학연구원
- Keywords
- Equivalence Classes; Burnside' s theorem; Pattern; Action; Cycle Index
- Citation
- 조선자연과학논문집, v.13, no.1, pp.19 - 26
- Journal Title
- 조선자연과학논문집
- Volume
- 13
- Number
- 1
- Start Page
- 19
- End Page
- 26
- ISSN
- 2005-1042
- 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.
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Collections - Department of Applied Mathematics > 1. Journal Articles
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