Combinatorica`
Combinatorica`

ButterflyGraph

As of Version 10, most of the functionality of the Combinatorica package is built into the Wolfram System. »

ButterflyGraph[n]

returns the n-dimensional butterfly graph, a directed graph whose vertices are pairs , where is a binary string of length n and is an integer in the range 0 through n and whose edges go from vertex to , if is identical to in all bits with the possible exception of the ^(th) bit. Here bits are counted left to right. An option VertexLabel, with default setting False, is allowed. When this option is set to True, vertices are labeled with strings .

Details and Options

Wolfram Research (2012), ButterflyGraph, Wolfram Language function, https://reference.wolfram.com/language/Combinatorica/ref/ButterflyGraph.html.

Text

Wolfram Research (2012), ButterflyGraph, Wolfram Language function, https://reference.wolfram.com/language/Combinatorica/ref/ButterflyGraph.html.

CMS

Wolfram Language. 2012. "ButterflyGraph." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/Combinatorica/ref/ButterflyGraph.html.

APA

Wolfram Language. (2012). ButterflyGraph. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/Combinatorica/ref/ButterflyGraph.html

BibTeX

@misc{reference.wolfram_2024_butterflygraph, author="Wolfram Research", title="{ButterflyGraph}", year="2012", howpublished="\url{https://reference.wolfram.com/language/Combinatorica/ref/ButterflyGraph.html}", note=[Accessed: 22-December-2024 ]}

BibLaTeX

@online{reference.wolfram_2024_butterflygraph, organization={Wolfram Research}, title={ButterflyGraph}, year={2012}, url={https://reference.wolfram.com/language/Combinatorica/ref/ButterflyGraph.html}, note=[Accessed: 22-December-2024 ]}