ShuffleExchangeGraph[n]
returns the n-dimensional shuffle-exchange graph whose vertices are length n binary strings with an edge from to if: (1) differs from in its last bit; or (2) is obtained from by a cyclic shift left or a cyclic shift right.
ShuffleExchangeGraph
ShuffleExchangeGraph[n]
returns the n-dimensional shuffle-exchange graph whose vertices are length n binary strings with an edge from to if: (1) differs from in its last bit; or (2) is obtained from by a cyclic shift left or a cyclic shift right.
Details and Options
- To use ShuffleExchangeGraph, you first need to load the Combinatorica Package using Needs ["Combinatorica`"].
- An option VertexLabel is provided, with default setting False , which can be set to True if the user wants to associate the binary strings to the vertices as labels.
See Also
Tech Notes
Related Guides
-
▪
- 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), ShuffleExchangeGraph, Wolfram Language function, https://reference.wolfram.com/language/Combinatorica/ref/ShuffleExchangeGraph.html.
CMS
Wolfram Language. 2012. "ShuffleExchangeGraph." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/Combinatorica/ref/ShuffleExchangeGraph.html.
APA
Wolfram Language. (2012). ShuffleExchangeGraph. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/Combinatorica/ref/ShuffleExchangeGraph.html
BibTeX
@misc{reference.wolfram_2025_shuffleexchangegraph, author="Wolfram Research", title="{ShuffleExchangeGraph}", year="2012", howpublished="\url{https://reference.wolfram.com/language/Combinatorica/ref/ShuffleExchangeGraph.html}", note=[Accessed: 05-December-2025]}
BibLaTeX
@online{reference.wolfram_2025_shuffleexchangegraph, organization={Wolfram Research}, title={ShuffleExchangeGraph}, year={2012}, url={https://reference.wolfram.com/language/Combinatorica/ref/ShuffleExchangeGraph.html}, note=[Accessed: 05-December-2025]}