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Classification Formula and Generation Algorithm of Cycle Decomposition Expression for Dihedral Groups
Joint Authors
Song, Guozhi
Lin, Yonggang
Zhang, Dakun
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-02-26
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
The necessary of classification research on common formula of Dn group (dihedral group) cycle decomposition expression is illustrated.
It includes the reflection and rotation conversion, which derived six common formulae on cycle decomposition expressions of Dn group; it designed the generation algorithm on the cycle decomposition expressions of Dn group, which is based on the method of replacement conversion and the classification formula; algorithm analysis and the results of the process show that the generation algorithm which is based on the classification formula is outperformed by the general algorithm which is based on replacement conversion; it has great significance to solve the enumeration of the necklace combinational scheme, especially the structural problems of combinational scheme, by using group theory and computer.
American Psychological Association (APA)
Zhang, Dakun& Lin, Yonggang& Song, Guozhi. 2013. Classification Formula and Generation Algorithm of Cycle Decomposition Expression for Dihedral Groups. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-452064
Modern Language Association (MLA)
Zhang, Dakun…[et al.]. Classification Formula and Generation Algorithm of Cycle Decomposition Expression for Dihedral Groups. Abstract and Applied Analysis No. 2013 (2013), pp.1-6.
https://search.emarefa.net/detail/BIM-452064
American Medical Association (AMA)
Zhang, Dakun& Lin, Yonggang& Song, Guozhi. Classification Formula and Generation Algorithm of Cycle Decomposition Expression for Dihedral Groups. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-452064
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-452064