Combinatorica`
Combinatorica`
NoPerfectMatchingGraph
As of Version 10, most of the functionality of the Combinatorica package is built into the Wolfram System. »
NoPerfectMatchingGraph
returns a connected graph with 16 vertices that contains no perfect matching.
Details and Options
- NoPerfectMatchingGraph functionality is now available in the built-in Wolfram Language function GraphData.
- To use NoPerfectMatchingGraph, you first need to load the Combinatorica Package using Needs["Combinatorica`"].
Examples
Basic Examples (2)Summary of the most common use cases
In[1]:=1

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https://wolfram.com/xid/0ccat43o5ayux69ne-rmcvi
In[2]:=2

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https://wolfram.com/xid/0ccat43o5ayux69ne-euxtzb
In[3]:=3

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https://wolfram.com/xid/0ccat43o5ayux69ne-c7xwog
Out[3]=3

NoPerfectMatchingGraph has been superseded by GraphData:
In[1]:=1

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https://wolfram.com/xid/0ccat43o5ayux69ne-ec1xd2
Out[1]=1

Wolfram Research (2012), NoPerfectMatchingGraph, Wolfram Language function, https://reference.wolfram.com/language/Combinatorica/ref/NoPerfectMatchingGraph.html.
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Wolfram Research (2012), NoPerfectMatchingGraph, Wolfram Language function, https://reference.wolfram.com/language/Combinatorica/ref/NoPerfectMatchingGraph.html.
Text
Wolfram Research (2012), NoPerfectMatchingGraph, Wolfram Language function, https://reference.wolfram.com/language/Combinatorica/ref/NoPerfectMatchingGraph.html.
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Wolfram Research (2012), NoPerfectMatchingGraph, Wolfram Language function, https://reference.wolfram.com/language/Combinatorica/ref/NoPerfectMatchingGraph.html.
CMS
Wolfram Language. 2012. "NoPerfectMatchingGraph." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/Combinatorica/ref/NoPerfectMatchingGraph.html.
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Wolfram Language. 2012. "NoPerfectMatchingGraph." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/Combinatorica/ref/NoPerfectMatchingGraph.html.
APA
Wolfram Language. (2012). NoPerfectMatchingGraph. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/Combinatorica/ref/NoPerfectMatchingGraph.html
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Wolfram Language. (2012). NoPerfectMatchingGraph. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/Combinatorica/ref/NoPerfectMatchingGraph.html
BibTeX
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@misc{reference.wolfram_2025_noperfectmatchinggraph, author="Wolfram Research", title="{NoPerfectMatchingGraph}", year="2012", howpublished="\url{https://reference.wolfram.com/language/Combinatorica/ref/NoPerfectMatchingGraph.html}", note=[Accessed: 28-April-2025
]}
BibLaTeX
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@online{reference.wolfram_2025_noperfectmatchinggraph, organization={Wolfram Research}, title={NoPerfectMatchingGraph}, year={2012}, url={https://reference.wolfram.com/language/Combinatorica/ref/NoPerfectMatchingGraph.html}, note=[Accessed: 28-April-2025
]}