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Research Paper | Mathematics | Kenya | Volume 6 Issue 6, June 2017
Derivation of Cycle Index Formulas for Dihedral Group Acting on Unordered Triples
Abstract: The cycle index of dihedral group D_n acting on the set X of the vertices of a regular n-gon was studied by Harary and Palmer in 1973 (See [1]). In this paper we derive the cycle index formulas of the dihedral group (D_n) acting on unordered triples from the set X={1, 2, , n}. In each case the actions of the cyclic part and the reflection part are studied separately for both an even value of n and an odd value of n.
Keywords: Cycle index, Cycle type, Monomial
Edition: Volume 6 Issue 6, June 2017,
Pages: 32 - 35
Similar Articles with Keyword 'Cycle'
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Masters Thesis, Mathematics, Indonesia, Volume 10 Issue 10, October 2021
Pages: 1147 - 1150Application of Project - Based Mathematics Student Worksheets to Improve Students' Problem - Solving Ability
Putu Diah Prema Vahini | I Gusti Putu Sudiarta [4] | Sariyasa [2]
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Analysis Study Research Paper, Mathematics, India, Volume 11 Issue 11, November 2022
Pages: 1117 - 1123A Deterministic Inventory Model for Non-Instantaneous Deteriorating Items with Allowed Backorders and Quadratic Time Varying Holding Cost
Teekam Chand Meena [2] | Anil Kumar Sharma [5]