A Problem of Enumeration of Two-color Bracelets with Several Variations

Authors

  • Vladimir Shevelev Department of Mathematics, Ben-Gurion University of the Negev, Beer-Sheva 84105, Israel

DOI:

https://doi.org/10.26713/jims.v3i3.55

Keywords:

Two-color and multi-color bracelets, Convex $k$-gons, Generalized Fibonacci numbers

Abstract

We consider the problem of enumeration of incongruent two-color bracelets of $n$ beads, $k$ of which are black, and study several natural variations of this problem. We also give recursion formulas for enumeration of $t$-color bracelets, $t\geq3$.

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CITATION

How to Cite

Shevelev, V. (2011). A Problem of Enumeration of Two-color Bracelets with Several Variations. Journal of Informatics and Mathematical Sciences, 3(3), 241–256. https://doi.org/10.26713/jims.v3i3.55

Issue

Section

Research Articles