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BreadthFirstTraversal

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

BreadthFirstTraversal[g,v]

performs a breadth-first traversal of graph g starting from vertex v, and gives the breadth-first numbers of the vertices.

BreadthFirstTraversal[g,v,Edge]

returns the edges of the graph that are traversed by breadth-first traversal.

BreadthFirstTraversal[g,v,Tree]

returns the breadth-first search tree.

BreadthFirstTraversal[g,v,Level]

returns the level number of the vertices.

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/0owl7zoqq4tpq0ahfs-rmcvi
In[2]:=2
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https://wolfram.com/xid/0owl7zoqq4tpq0ahfs-kog7jp
In[3]:=3
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https://wolfram.com/xid/0owl7zoqq4tpq0ahfs-c7xwog
Out[3]=3
In[4]:=4
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https://wolfram.com/xid/0owl7zoqq4tpq0ahfs-g8ga0g
Out[4]=4

BreadthFirstTraversal has been superseded by BreadthFirstScan:

In[1]:=1
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https://wolfram.com/xid/0owl7zoqq4tpq0ahfs-ec1xd2
Out[1]=1
In[2]:=2
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https://wolfram.com/xid/0owl7zoqq4tpq0ahfs-ba3zb7
In[3]:=3
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https://wolfram.com/xid/0owl7zoqq4tpq0ahfs-gtwffv
Out[3]=3
Wolfram Research (2012), BreadthFirstTraversal, Wolfram Language function, https://reference.wolfram.com/language/Combinatorica/ref/BreadthFirstTraversal.html.
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Wolfram Research (2012), BreadthFirstTraversal, Wolfram Language function, https://reference.wolfram.com/language/Combinatorica/ref/BreadthFirstTraversal.html.

Text

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

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

CMS

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

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

APA

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

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

BibTeX

@misc{reference.wolfram_2025_breadthfirsttraversal, author="Wolfram Research", title="{BreadthFirstTraversal}", year="2012", howpublished="\url{https://reference.wolfram.com/language/Combinatorica/ref/BreadthFirstTraversal.html}", note=[Accessed: 03-April-2025 ]}

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@misc{reference.wolfram_2025_breadthfirsttraversal, author="Wolfram Research", title="{BreadthFirstTraversal}", year="2012", howpublished="\url{https://reference.wolfram.com/language/Combinatorica/ref/BreadthFirstTraversal.html}", note=[Accessed: 03-April-2025 ]}

BibLaTeX

@online{reference.wolfram_2025_breadthfirsttraversal, organization={Wolfram Research}, title={BreadthFirstTraversal}, year={2012}, url={https://reference.wolfram.com/language/Combinatorica/ref/BreadthFirstTraversal.html}, note=[Accessed: 03-April-2025 ]}

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@online{reference.wolfram_2025_breadthfirsttraversal, organization={Wolfram Research}, title={BreadthFirstTraversal}, year={2012}, url={https://reference.wolfram.com/language/Combinatorica/ref/BreadthFirstTraversal.html}, note=[Accessed: 03-April-2025 ]}