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VertexList
Details
- VertexList is also known as nodes or actors.
- VertexList returns the list of vertices in the order used by the graph g.
Examples
open allclose allBasic Examples (3)Summary of the most common use cases
The vertex list for an explicitly constructed graph:
https://wolfram.com/xid/0bdp8tpkq-f8diwi
https://wolfram.com/xid/0bdp8tpkq-kk0qbl
The vertex list for a parametrically constructed graph:
https://wolfram.com/xid/0bdp8tpkq-muw21
Find all vertices that match a pattern:
https://wolfram.com/xid/0bdp8tpkq-tncjj
Scope (5)Survey of the scope of standard use cases
VertexList works with undirected graphs:
https://wolfram.com/xid/0bdp8tpkq-2n22nw
https://wolfram.com/xid/0bdp8tpkq-lkwx7m
Use rules to specify the graph:
https://wolfram.com/xid/0bdp8tpkq-bndh30
Use patterns to select a subset of vertices:
https://wolfram.com/xid/0bdp8tpkq-53nmq
https://wolfram.com/xid/0bdp8tpkq-bp7bob
https://wolfram.com/xid/0bdp8tpkq-ztobs
VertexList works with large graphs:
https://wolfram.com/xid/0bdp8tpkq-pq9ae
https://wolfram.com/xid/0bdp8tpkq-pt10p8
Applications (2)Sample problems that can be solved with this function
Find all vertices with a given annotation:
https://wolfram.com/xid/0bdp8tpkq-obof4g
https://wolfram.com/xid/0bdp8tpkq-31ufl
Highlight the vertex by the vertex degree:
https://wolfram.com/xid/0bdp8tpkq-ebd33q
https://wolfram.com/xid/0bdp8tpkq-rzl9c
https://wolfram.com/xid/0bdp8tpkq-capbob
Properties & Relations (7)Properties of the function, and connections to other functions
VertexCount can be found using VertexList:
https://wolfram.com/xid/0bdp8tpkq-rtzao
https://wolfram.com/xid/0bdp8tpkq-cnrlqt
https://wolfram.com/xid/0bdp8tpkq-dw7ac3
VertexIndex gives the position of a vertex in VertexList:
https://wolfram.com/xid/0bdp8tpkq-b6i6tc
https://wolfram.com/xid/0bdp8tpkq-d0o81c
https://wolfram.com/xid/0bdp8tpkq-h7d8sv
Use VertexQ to test if a vertex is a member of VertexList:
https://wolfram.com/xid/0bdp8tpkq-qsow
https://wolfram.com/xid/0bdp8tpkq-g8zbu0
https://wolfram.com/xid/0bdp8tpkq-qxa53
Vertices are taken in the order they appear in the list of edges:
https://wolfram.com/xid/0bdp8tpkq-hwzj2q
https://wolfram.com/xid/0bdp8tpkq-ja4d8
The order can be modified with an explicit vertex list:
https://wolfram.com/xid/0bdp8tpkq-deck35
https://wolfram.com/xid/0bdp8tpkq-tx5ww
Rows and columns of the adjacency matrix follow the order given by VertexList:
https://wolfram.com/xid/0bdp8tpkq-kwmhmh
https://wolfram.com/xid/0bdp8tpkq-cwu88m
https://wolfram.com/xid/0bdp8tpkq-i573me
Rows of the incidence matrix correspond to VertexList:
https://wolfram.com/xid/0bdp8tpkq-x999l1
https://wolfram.com/xid/0bdp8tpkq-ip9ho
https://wolfram.com/xid/0bdp8tpkq-dry0v4
Vertices can be specified in Graph:
https://wolfram.com/xid/0bdp8tpkq-lj1md
https://wolfram.com/xid/0bdp8tpkq-bc25r2
https://wolfram.com/xid/0bdp8tpkq-l0kdv6
https://wolfram.com/xid/0bdp8tpkq-iorx6k
https://wolfram.com/xid/0bdp8tpkq-emj4u3
https://wolfram.com/xid/0bdp8tpkq-cikafm
Wolfram Research (2010), VertexList, Wolfram Language function, https://reference.wolfram.com/language/ref/VertexList.html (updated 2015).
Text
Wolfram Research (2010), VertexList, Wolfram Language function, https://reference.wolfram.com/language/ref/VertexList.html (updated 2015).
Wolfram Research (2010), VertexList, Wolfram Language function, https://reference.wolfram.com/language/ref/VertexList.html (updated 2015).
CMS
Wolfram Language. 2010. "VertexList." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2015. https://reference.wolfram.com/language/ref/VertexList.html.
Wolfram Language. 2010. "VertexList." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2015. https://reference.wolfram.com/language/ref/VertexList.html.
APA
Wolfram Language. (2010). VertexList. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/VertexList.html
Wolfram Language. (2010). VertexList. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/VertexList.html
BibTeX
@misc{reference.wolfram_2024_vertexlist, author="Wolfram Research", title="{VertexList}", year="2015", howpublished="\url{https://reference.wolfram.com/language/ref/VertexList.html}", note=[Accessed: 10-January-2025
]}
BibLaTeX
@online{reference.wolfram_2024_vertexlist, organization={Wolfram Research}, title={VertexList}, year={2015}, url={https://reference.wolfram.com/language/ref/VertexList.html}, note=[Accessed: 10-January-2025
]}