is an option and annotation for Graph and related functions that specifies a vertex weight.
VertexWeight
is an option and annotation for Graph and related functions that specifies a vertex weight.
Details
- The following option settings can be used:
-
- The wrapper Annotation [v,VertexWeight->w] can be used when creating graphs in functions such as Graph etc.
- The weight can be any expression.
- The weight can be interpreted as cost or capacity, or have other special meanings for different graph computation functions.
Examples
Basic Examples (2)
Set the weight for all vertices:
Use any expression as a weight:
Related Guides
History
Text
Wolfram Research (2010), VertexWeight, Wolfram Language function, https://reference.wolfram.com/language/ref/VertexWeight.html.
CMS
Wolfram Language. 2010. "VertexWeight." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/VertexWeight.html.
APA
Wolfram Language. (2010). VertexWeight. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/VertexWeight.html
BibTeX
@misc{reference.wolfram_2025_vertexweight, author="Wolfram Research", title="{VertexWeight}", year="2010", howpublished="\url{https://reference.wolfram.com/language/ref/VertexWeight.html}", note=[Accessed: 04-January-2026]}
BibLaTeX
@online{reference.wolfram_2025_vertexweight, organization={Wolfram Research}, title={VertexWeight}, year={2010}, url={https://reference.wolfram.com/language/ref/VertexWeight.html}, note=[Accessed: 04-January-2026]}