Uniquely3ColorableGraph
returns a 12-vertex, triangle-free graph with chromatic number 3 that is uniquely 3-colorable.


Uniquely3ColorableGraph
Uniquely3ColorableGraph
returns a 12-vertex, triangle-free graph with chromatic number 3 that is uniquely 3-colorable.
Details and Options
- Uniquely3ColorableGraph functionality is now available in the built-in Wolfram Language function GraphData.
- To use Uniquely3ColorableGraph, you first need to load the Combinatorica Package using Needs["Combinatorica`"].
See Also
Tech Notes
Related Guides
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▪
- Built-in Graphs ▪
- 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), Uniquely3ColorableGraph, Wolfram Language function, https://reference.wolfram.com/language/Combinatorica/ref/Uniquely3ColorableGraph.html.
CMS
Wolfram Language. 2012. "Uniquely3ColorableGraph." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/Combinatorica/ref/Uniquely3ColorableGraph.html.
APA
Wolfram Language. (2012). Uniquely3ColorableGraph. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/Combinatorica/ref/Uniquely3ColorableGraph.html
BibTeX
@misc{reference.wolfram_2025_uniquely3colorablegraph, author="Wolfram Research", title="{Uniquely3ColorableGraph}", year="2012", howpublished="\url{https://reference.wolfram.com/language/Combinatorica/ref/Uniquely3ColorableGraph.html}", note=[Accessed: 14-August-2025]}
BibLaTeX
@online{reference.wolfram_2025_uniquely3colorablegraph, organization={Wolfram Research}, title={Uniquely3ColorableGraph}, year={2012}, url={https://reference.wolfram.com/language/Combinatorica/ref/Uniquely3ColorableGraph.html}, note=[Accessed: 14-August-2025]}