ENUMERATING NECKLACES WITH TRANSITIONS

DOI10.1017/S0004972721000307zbMath1481.05010OpenAlexW3161762850MaRDI QIDQ5023499

Francesco Bianconi, Emanuele Brugnoli

Publication date: 24 January 2022

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972721000307

zbMATH Keywords

colouringcompositiontransitionnecklace

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorics on words (68R15) Permutations, words, matrices (05A05) Group actions on combinatorial structures (05E18)

Uses Software

• OEIS

Cites Work

• Lyndon words and Fibonacci numbers
• The origins of combinatorics on words
• Cyclic compositions and cycles of the hypercube
• Counting colorful necklaces and bracelets in three colors
• Enumeration of cyclic permutations in vector grid classes
• How to Count
• The on-line encyclopedia of integer sequences
• Combinatorics of Compositions and Words
• ALTERNATING COLOURINGS OF THE VERTICES OF A REGULAR POLYGON
• \(n\)-colour compositions
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