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DepthFirstTraversal

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

DepthFirstTraversal[g,v]

performs a depth-first traversal of graph g starting from vertex v, and gives a list of vertices in the order in which they were encountered.

DepthFirstTraversal[g,v,Edge]

returns the edges of the graph that are traversed by the depth-first traversal in the order in which they are traversed.

DepthFirstTraversal[g,v,Tree]

returns the depth-first tree of the graph.

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/0jjcp8cvr5kjai7s-rmcvi
In[2]:=2
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https://wolfram.com/xid/0jjcp8cvr5kjai7s-kog7jp
In[3]:=3
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https://wolfram.com/xid/0jjcp8cvr5kjai7s-c7xwog
Out[3]=3
In[4]:=4
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https://wolfram.com/xid/0jjcp8cvr5kjai7s-g8ga0g
Out[4]=4

DepthFirstTraversal has been superseded by DepthFirstScan:

In[1]:=1
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https://wolfram.com/xid/0jjcp8cvr5kjai7s-ec1xd2
Out[1]=1
In[2]:=2
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https://wolfram.com/xid/0jjcp8cvr5kjai7s-gtwffv
Out[2]=2
Wolfram Research (2012), DepthFirstTraversal, Wolfram Language function, https://reference.wolfram.com/language/Combinatorica/ref/DepthFirstTraversal.html.
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Wolfram Research (2012), DepthFirstTraversal, Wolfram Language function, https://reference.wolfram.com/language/Combinatorica/ref/DepthFirstTraversal.html.

Text

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

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

CMS

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

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

APA

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

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

BibTeX

@misc{reference.wolfram_2025_depthfirsttraversal, author="Wolfram Research", title="{DepthFirstTraversal}", year="2012", howpublished="\url{https://reference.wolfram.com/language/Combinatorica/ref/DepthFirstTraversal.html}", note=[Accessed: 02-April-2025 ]}

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@misc{reference.wolfram_2025_depthfirsttraversal, author="Wolfram Research", title="{DepthFirstTraversal}", year="2012", howpublished="\url{https://reference.wolfram.com/language/Combinatorica/ref/DepthFirstTraversal.html}", note=[Accessed: 02-April-2025 ]}

BibLaTeX

@online{reference.wolfram_2025_depthfirsttraversal, organization={Wolfram Research}, title={DepthFirstTraversal}, year={2012}, url={https://reference.wolfram.com/language/Combinatorica/ref/DepthFirstTraversal.html}, note=[Accessed: 02-April-2025 ]}

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@online{reference.wolfram_2025_depthfirsttraversal, organization={Wolfram Research}, title={DepthFirstTraversal}, year={2012}, url={https://reference.wolfram.com/language/Combinatorica/ref/DepthFirstTraversal.html}, note=[Accessed: 02-April-2025 ]}