The Number of Symmetric Colorings of the Dihedral Group Dp

Jabulani Phakathi; David Radnell; Yuliya  Zelenyuk

doi:10.18576/amis/100641

The Number of Symmetric Colorings of the Dihedral Group Dp

Jabulani Phakathi
, David Radnell
, Yuliya Zelenyuk

Department of Mathematics and Systems Analysis

University of the Witwatersrand, Johannesburg

Research output: Contribution to journal › Article › Scientific › peer-review

2 Citations (Scopus)

171 Downloads (Pure)

Abstract

We compute the number of symmetric r-colorings and the number of equivalence classes of symmetric r-colorings of the dihedral group Dp, where p is prime.

Original language	English
Pages (from-to)	2373-2376
Journal	Applied Mathematics and Information Sciences
Volume	10
Issue number	6
DOIs	https://doi.org/10.18576/amis/100641
Publication status	Published - 1 Nov 2016
MoE publication type	A1 Journal article-refereed

Keywords

Dihedral group
symmetric coloring
optimal partition

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The Number of Symmetric Colorings of the Dihedral Group DpAccepted author manuscript, 768 KB

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title = "The Number of Symmetric Colorings of the Dihedral Group Dp",

abstract = "We compute the number of symmetric r-colorings and the number of equivalence classes of symmetric r-colorings of the dihedral group Dp, where p is prime.",

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author = "Jabulani Phakathi and David Radnell and Yuliya Zelenyuk",

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AU - Zelenyuk, Yuliya

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N2 - We compute the number of symmetric r-colorings and the number of equivalence classes of symmetric r-colorings of the dihedral group Dp, where p is prime.

AB - We compute the number of symmetric r-colorings and the number of equivalence classes of symmetric r-colorings of the dihedral group Dp, where p is prime.

KW - Dihedral group

KW - symmetric coloring

KW - optimal partition

U2 - 10.18576/amis/100641

DO - 10.18576/amis/100641

M3 - Article

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JO - Applied Mathematics and Information Sciences

JF - Applied Mathematics and Information Sciences

IS - 6

ER -

The Number of Symmetric Colorings of the Dihedral Group Dp

Abstract

Keywords

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