is an option and annotation for Graph and related functions that specifies an edge weight.
EdgeWeight
is an option and annotation for Graph and related functions that specifies an edge weight.
Details
- The following option settings can be used:
-
Automatic automatically determine edge weights{vivj->wij,…} edge has weight etc.{patternw,…} edge that matches the pattern has weight w
- The wrapper Annotation [vivj,EdgeWeight->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 can have other special meanings for different graph computation functions.
Examples
Basic Examples (3)
Set a weight for all edges:
The weighted adjacency matrix:
Specify the weight for individual edges:
The list of edge weights in the order given in the graph:
Use any expression as a weight:
Related Guides
Text
Wolfram Research (2010), EdgeWeight, Wolfram Language function, https://reference.wolfram.com/language/ref/EdgeWeight.html (updated 2020).
CMS
Wolfram Language. 2010. "EdgeWeight." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2020. https://reference.wolfram.com/language/ref/EdgeWeight.html.
APA
Wolfram Language. (2010). EdgeWeight. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/EdgeWeight.html
BibTeX
@misc{reference.wolfram_2025_edgeweight, author="Wolfram Research", title="{EdgeWeight}", year="2020", howpublished="\url{https://reference.wolfram.com/language/ref/EdgeWeight.html}", note=[Accessed: 16-November-2025]}
BibLaTeX
@online{reference.wolfram_2025_edgeweight, organization={Wolfram Research}, title={EdgeWeight}, year={2020}, url={https://reference.wolfram.com/language/ref/EdgeWeight.html}, note=[Accessed: 16-November-2025]}