GraphPolynomial[n,x]
returns a polynomial in x in which the coefficient of x^(m) is the number of nonisomorphic graphs with n vertices and m edges.
GraphPolynomial[n,x,Directed ]
returns a polynomial in x in which the coefficient of x^(m) is the number of nonisomorphic directed graphs with n vertices and m edges.
GraphPolynomial
GraphPolynomial[n,x]
returns a polynomial in x in which the coefficient of x^(m) is the number of nonisomorphic graphs with n vertices and m edges.
GraphPolynomial[n,x,Directed ]
returns a polynomial in x in which the coefficient of x^(m) is the number of nonisomorphic directed graphs with n vertices and m edges.
Details and Options
- To use GraphPolynomial, you first need to load the Combinatorica Package using Needs ["Combinatorica`"].
See Also
Tech Notes
Related Guides
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▪
- Graph Properties ▪
- Graphs & Networks ▪
- Graph Visualization ▪
- Computation on Graphs ▪
- Graph Construction & Representation ▪
- Graphs and Matrices ▪
- Graph Properties & Measurements ▪
- Graph Operations and Modifications ▪
- Statistical Analysis ▪
- Social Network Analysis ▪
- Graph Properties ▪
- Mathematical Data Formats ▪
- Discrete Mathematics
Text
Wolfram Research (2012), GraphPolynomial, Wolfram Language function, https://reference.wolfram.com/language/Combinatorica/ref/GraphPolynomial.html.
CMS
Wolfram Language. 2012. "GraphPolynomial." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/Combinatorica/ref/GraphPolynomial.html.
APA
Wolfram Language. (2012). GraphPolynomial. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/Combinatorica/ref/GraphPolynomial.html
BibTeX
@misc{reference.wolfram_2025_graphpolynomial, author="Wolfram Research", title="{GraphPolynomial}", year="2012", howpublished="\url{https://reference.wolfram.com/language/Combinatorica/ref/GraphPolynomial.html}", note=[Accessed: 05-December-2025]}
BibLaTeX
@online{reference.wolfram_2025_graphpolynomial, organization={Wolfram Research}, title={GraphPolynomial}, year={2012}, url={https://reference.wolfram.com/language/Combinatorica/ref/GraphPolynomial.html}, note=[Accessed: 05-December-2025]}