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ConnectedQ

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

ConnectedQ[g]

yields True if undirected graph g is connected. If g is directed, the function returns True if the underlying undirected graph is connected.

ConnectedQ[g,Strong]

yields True if the directed graph g is strongly connected.

ConnectedQ[g,Weak]

yields True if the directed graph g is weakly connected.

Details and Options

Examples

Basic Examples  (2)Summary of the most common use cases

In[1]:=1
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https://wolfram.com/xid/0s1h8okof3-rmcvi
In[2]:=2
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https://wolfram.com/xid/0s1h8okof3-euxtzb
In[3]:=3
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https://wolfram.com/xid/0s1h8okof3-c7xwog
Out[3]=3
In[4]:=4
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https://wolfram.com/xid/0s1h8okof3-fczqlq
Out[4]=4

ConnectedQ has been superseded by ConnectedGraphQ:

In[1]:=1
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https://wolfram.com/xid/0s1h8okof3-ec1xd2
Out[1]=1
In[2]:=2
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https://wolfram.com/xid/0s1h8okof3-q4ahb
Out[2]=2
Wolfram Research (2012), ConnectedQ, Wolfram Language function, https://reference.wolfram.com/language/Combinatorica/ref/ConnectedQ.html.
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Wolfram Research (2012), ConnectedQ, Wolfram Language function, https://reference.wolfram.com/language/Combinatorica/ref/ConnectedQ.html.

Text

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

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

CMS

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

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

APA

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

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

BibTeX

@misc{reference.wolfram_2025_connectedq, author="Wolfram Research", title="{ConnectedQ}", year="2012", howpublished="\url{https://reference.wolfram.com/language/Combinatorica/ref/ConnectedQ.html}", note=[Accessed: 08-June-2025 ]}

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@misc{reference.wolfram_2025_connectedq, author="Wolfram Research", title="{ConnectedQ}", year="2012", howpublished="\url{https://reference.wolfram.com/language/Combinatorica/ref/ConnectedQ.html}", note=[Accessed: 08-June-2025 ]}

BibLaTeX

@online{reference.wolfram_2025_connectedq, organization={Wolfram Research}, title={ConnectedQ}, year={2012}, url={https://reference.wolfram.com/language/Combinatorica/ref/ConnectedQ.html}, note=[Accessed: 08-June-2025 ]}

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@online{reference.wolfram_2025_connectedq, organization={Wolfram Research}, title={ConnectedQ}, year={2012}, url={https://reference.wolfram.com/language/Combinatorica/ref/ConnectedQ.html}, note=[Accessed: 08-June-2025 ]}