gives the list of vertices for the graph g.


gives a list of vertices that match the pattern patt.


uses rules vw to specify the graph g.


  • VertexList is also known as nodes or actors.
  • VertexList returns the list of vertices in the order used by the graph g.


open allclose all

Basic Examples  (3)

The vertex list for an explicitly constructed graph:

The vertex list for a parametrically constructed graph:

Find all vertices that match a pattern:

Scope  (5)

VertexList works with undirected graphs:

Directed graphs:

Use rules to specify the graph:

Use patterns to select a subset of vertices:

VertexList works with large graphs:

Applications  (2)

Find all vertices with a given annotation:

Highlight the vertex by the vertex degree:

Properties & Relations  (7)

VertexCount can be found using VertexList:

VertexIndex gives the position of a vertex in VertexList:

Use VertexQ to test if a vertex is a member of VertexList:

Vertices are taken in the order they appear in the list of edges:

The order can be modified with an explicit vertex list:

Rows and columns of the adjacency matrix follow the order given by VertexList:

Rows of the incidence matrix correspond to VertexList:

Vertices can be specified in Graph:



Wolfram Research (2010), VertexList, Wolfram Language function, (updated 2015).


Wolfram Research (2010), VertexList, Wolfram Language function, (updated 2015).


Wolfram Language. 2010. "VertexList." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2015.


Wolfram Language. (2010). VertexList. Wolfram Language & System Documentation Center. Retrieved from


@misc{reference.wolfram_2024_vertexlist, author="Wolfram Research", title="{VertexList}", year="2015", howpublished="\url{}", note=[Accessed: 21-June-2024 ]}


@online{reference.wolfram_2024_vertexlist, organization={Wolfram Research}, title={VertexList}, year={2015}, url={}, note=[Accessed: 21-June-2024 ]}