ListNecklaces[n,c,Cyclic]
returns all distinct necklaces whose beads are colored by colors from c. Here c is a list of n not necessarily distinct colors, and two colored necklaces are considered equivalent if one can be obtained by rotating the other.
ListNecklaces[n,c,Dihedral]
is similar except that two necklaces are considered equivalent if one can be obtained from the other by a rotation or a flip.


ListNecklaces
ListNecklaces[n,c,Cyclic]
returns all distinct necklaces whose beads are colored by colors from c. Here c is a list of n not necessarily distinct colors, and two colored necklaces are considered equivalent if one can be obtained by rotating the other.
ListNecklaces[n,c,Dihedral]
is similar except that two necklaces are considered equivalent if one can be obtained from the other by a rotation or a flip.
Details and Options
- To use ListNecklaces, you first need to load the Combinatorica Package using Needs["Combinatorica`"].
See Also
Tech Notes
Related Guides
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- Discrete Mathematics
Text
Wolfram Research (2012), ListNecklaces, Wolfram Language function, https://reference.wolfram.com/language/Combinatorica/ref/ListNecklaces.html.
CMS
Wolfram Language. 2012. "ListNecklaces." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/Combinatorica/ref/ListNecklaces.html.
APA
Wolfram Language. (2012). ListNecklaces. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/Combinatorica/ref/ListNecklaces.html
BibTeX
@misc{reference.wolfram_2025_listnecklaces, author="Wolfram Research", title="{ListNecklaces}", year="2012", howpublished="\url{https://reference.wolfram.com/language/Combinatorica/ref/ListNecklaces.html}", note=[Accessed: 14-August-2025]}
BibLaTeX
@online{reference.wolfram_2025_listnecklaces, organization={Wolfram Research}, title={ListNecklaces}, year={2012}, url={https://reference.wolfram.com/language/Combinatorica/ref/ListNecklaces.html}, note=[Accessed: 14-August-2025]}