GraphUtilities`
GraphUtilities`

NeighborhoodVertices

As of Version 10, all the functionality of the GraphUtilities package is built into the Wolfram System. »

NeighborhoodVertices[g,i,r]

gives vertices that can be reached from vertex i within r hops.

NeighborhoodVertices[g,i]

gives vertices that can be reached from vertex i.

Details and Options

• NeighborhoodVertices functionality is now available in the built-in Wolfram Language function NeighborhoodGraph.
• To use NeighborhoodVertices, you first need to load the Graph Utilities Package using Needs["GraphUtilities`"].
• NeighborhoodVertices returns the vertices that can be reached from a given vertex within certain hops.

Examples

Basic Examples(2)

This defines a simple directed graph:

This finds all vertices that can be reached from vertex 2 within 1 hop:

This finds all vertices that can be reached from vertex 2:

NeighborhoodVertices has been superseded by NeighborhoodGraph:

Wolfram Research (2007), NeighborhoodVertices, Wolfram Language function, https://reference.wolfram.com/language/GraphUtilities/ref/NeighborhoodVertices.html.

Text

Wolfram Research (2007), NeighborhoodVertices, Wolfram Language function, https://reference.wolfram.com/language/GraphUtilities/ref/NeighborhoodVertices.html.

CMS

Wolfram Language. 2007. "NeighborhoodVertices." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/GraphUtilities/ref/NeighborhoodVertices.html.

APA

Wolfram Language. (2007). NeighborhoodVertices. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/GraphUtilities/ref/NeighborhoodVertices.html

BibTeX

@misc{reference.wolfram_2024_neighborhoodvertices, author="Wolfram Research", title="{NeighborhoodVertices}", year="2007", howpublished="\url{https://reference.wolfram.com/language/GraphUtilities/ref/NeighborhoodVertices.html}", note=[Accessed: 09-September-2024 ]}

BibLaTeX

@online{reference.wolfram_2024_neighborhoodvertices, organization={Wolfram Research}, title={NeighborhoodVertices}, year={2007}, url={https://reference.wolfram.com/language/GraphUtilities/ref/NeighborhoodVertices.html}, note=[Accessed: 09-September-2024 ]}