Combinatorica`
Combinatorica`

NecklacePolynomial

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

NecklacePolynomial[n,c,Cyclic]

returns a polynomial in the colors in c whose coefficients represent numbers of ways of coloring an n-bead necklace with colors chosen from c, assuming that two colorings are equivalent if one can be obtained from the other by a rotation.

NecklacePolynomial[n,c,Dihedral]

is different in that it considers two colorings equivalent if one can be obtained from the other by a rotation or a flip or both.

Details and Options

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

Text

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

CMS

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

APA

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

BibTeX

@misc{reference.wolfram_2023_necklacepolynomial, author="Wolfram Research", title="{NecklacePolynomial}", year="2012", howpublished="\url{https://reference.wolfram.com/language/Combinatorica/ref/NecklacePolynomial.html}", note=[Accessed: 18-March-2024 ]}

BibLaTeX

@online{reference.wolfram_2023_necklacepolynomial, organization={Wolfram Research}, title={NecklacePolynomial}, year={2012}, url={https://reference.wolfram.com/language/Combinatorica/ref/NecklacePolynomial.html}, note=[Accessed: 18-March-2024 ]}