CubeConnectedCycle[d]
returns the graph obtained by replacing each vertex in a d-dimensional hypercube by a cycle of length d. Cube-connected cycles share many properties with hypercubes, but have the additional desirable property that for every vertex has degree 3.


CubeConnectedCycle
CubeConnectedCycle[d]
returns the graph obtained by replacing each vertex in a d-dimensional hypercube by a cycle of length d. Cube-connected cycles share many properties with hypercubes, but have the additional desirable property that for every vertex has degree 3.
Details and Options
- CubeConnectedCycle functionality is now available in the built-in Wolfram Language function GraphData.
- To use CubeConnectedCycle, you first need to load the Combinatorica Package using Needs["Combinatorica`"].
See Also
Tech Notes
Related Guides
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- Graphs & Networks ▪
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- Graph Operations and Modifications ▪
- Statistical Analysis ▪
- Social Network Analysis ▪
- Graph Properties ▪
- Mathematical Data Formats ▪
- Discrete Mathematics
Text
Wolfram Research (2012), CubeConnectedCycle, Wolfram Language function, https://reference.wolfram.com/language/Combinatorica/ref/CubeConnectedCycle.html.
CMS
Wolfram Language. 2012. "CubeConnectedCycle." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/Combinatorica/ref/CubeConnectedCycle.html.
APA
Wolfram Language. (2012). CubeConnectedCycle. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/Combinatorica/ref/CubeConnectedCycle.html
BibTeX
@misc{reference.wolfram_2025_cubeconnectedcycle, author="Wolfram Research", title="{CubeConnectedCycle}", year="2012", howpublished="\url{https://reference.wolfram.com/language/Combinatorica/ref/CubeConnectedCycle.html}", note=[Accessed: 09-August-2025]}
BibLaTeX
@online{reference.wolfram_2025_cubeconnectedcycle, organization={Wolfram Research}, title={CubeConnectedCycle}, year={2012}, url={https://reference.wolfram.com/language/Combinatorica/ref/CubeConnectedCycle.html}, note=[Accessed: 09-August-2025]}