Combinatorica`
Combinatorica`

NumberOfNecklaces

As of Version 10, most of the functionality of the Combinatorica package is built into the Wolfram System. »

NumberOfNecklaces[n,nc,Cyclic]

returns the number of distinct ways in which an n-bead necklace can be colored with nc colors, assuming that two colorings are equivalent if one can be obtained from the other by a rotation.

NumberOfNecklaces[n,nc,Dihedral]

returns the number of distinct ways in which an n-bead necklace can be colored with nc colors, assuming that two colorings are equivalent if one can be obtained from the other by a rotation or a flip.

Details and Options

Wolfram Research (2012), NumberOfNecklaces, Wolfram Language function, https://reference.wolfram.com/language/Combinatorica/ref/NumberOfNecklaces.html.

Text

Wolfram Research (2012), NumberOfNecklaces, Wolfram Language function, https://reference.wolfram.com/language/Combinatorica/ref/NumberOfNecklaces.html.

CMS

Wolfram Language. 2012. "NumberOfNecklaces." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/Combinatorica/ref/NumberOfNecklaces.html.

APA

Wolfram Language. (2012). NumberOfNecklaces. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/Combinatorica/ref/NumberOfNecklaces.html

BibTeX

@misc{reference.wolfram_2023_numberofnecklaces, author="Wolfram Research", title="{NumberOfNecklaces}", year="2012", howpublished="\url{https://reference.wolfram.com/language/Combinatorica/ref/NumberOfNecklaces.html}", note=[Accessed: 19-March-2024 ]}

BibLaTeX

@online{reference.wolfram_2023_numberofnecklaces, organization={Wolfram Research}, title={NumberOfNecklaces}, year={2012}, url={https://reference.wolfram.com/language/Combinatorica/ref/NumberOfNecklaces.html}, note=[Accessed: 19-March-2024 ]}