BUILT-IN MATHEMATICA SYMBOL

# EdgeCapacity

EdgeCapacity
is an option and property for Graph and related functions that specifies an edge capacity.

## DetailsDetails

• The following option settings can be used:
•  Automatic automatically determine edge capacities "prop" use the property as a capacity {vivj->cij,...} edge has capacity etc. {c1,c2,...} give all edge capacities in the same order as used by EdgeList {pattern->c,...} edge that matches the pattern has capacity w
• With the setting , and are taken to be the lower bound capacity and the upper bound capacity for the edge .
• The wrapper Property[vivj, EdgeCapacity->c] can be used when creating graphs in functions such as Graph etc.
• The capacity can be any expression.
• Edge capacities can have special meanings for different graph computation functions.

## ExamplesExamplesopen allclose all

### Basic Examples (3)Basic Examples (3)

Set a capacity for all edges:

 Out[1]=
 Out[2]//MatrixForm=

Use any expression as a capacity:

 Out[1]=
 Out[2]//MatrixForm=

Get EdgeCapacity for a given edge:

 Out[1]=
 Out[2]=