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

원문정보

Wonsok Yoo

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초록

영어

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.

목차

Abstract
1. Introduction
2. Reinterpretation of Burnside's theorem
3. Applications
4. Computation of the Number of Patterns using the Cycle Index
Acknowledgments
References

저자정보

  • Wonsok Yoo Department of Applied Mathematics, Kumoh National Institute of Technology

참고문헌

자료제공 : 네이버학술정보

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