MeredithGraph
returns a 4-regular, 4-connected graph that is not Hamiltonian, providing a counterexample to a conjecture by C. St. J. A. Nash-Williams.


MeredithGraph
MeredithGraph
returns a 4-regular, 4-connected graph that is not Hamiltonian, providing a counterexample to a conjecture by C. St. J. A. Nash-Williams.
Details and Options
- MeredithGraph functionality is now available in the built-in Wolfram Language function GraphData.
- To use MeredithGraph, 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), MeredithGraph, Wolfram Language function, https://reference.wolfram.com/language/Combinatorica/ref/MeredithGraph.html.
CMS
Wolfram Language. 2012. "MeredithGraph." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/Combinatorica/ref/MeredithGraph.html.
APA
Wolfram Language. (2012). MeredithGraph. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/Combinatorica/ref/MeredithGraph.html
BibTeX
@misc{reference.wolfram_2025_meredithgraph, author="Wolfram Research", title="{MeredithGraph}", year="2012", howpublished="\url{https://reference.wolfram.com/language/Combinatorica/ref/MeredithGraph.html}", note=[Accessed: 14-August-2025]}
BibLaTeX
@online{reference.wolfram_2025_meredithgraph, organization={Wolfram Research}, title={MeredithGraph}, year={2012}, url={https://reference.wolfram.com/language/Combinatorica/ref/MeredithGraph.html}, note=[Accessed: 14-August-2025]}