Counting symmetric colourings of the vertices of a regular polygon

Authors

  • Y. Zelenyuk School of Mathematics, University of the Witwatersrand, Private Bag 3, Wits, 2050, Johannesburg, South Africa
  • Y. Zelenyuk School of Mathematics, University of the Witwatersrand, Private Bag 3, Wits, 2050, Johannesburg, South Africa

Keywords:

symmetric coloring, regular polygon, nite Abelian group, Mobius function, multiplicative function

Abstract

A colouring of the vertices of a regular polygon is symmetric if it is invariant under some reflection of the polygon. We count the number of symmetric r-colourings of the vertices of a regular n-gon. DOI: 10.1017/S0004972713001147

Published

2014-06-03

Issue

Vol. 90 No. 1 (2014)

Section

Articles
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