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Input graph, specified as either a graph or digraph object. Use graph to create an undirected graph or digraph to create a directed graph.
Example: G = graph(1,2)
Microsoft Flow Software
Example: G = digraph([1 2],[2 3])
s,t — Node pair (as separate arguments)
node indicesnode names
Node pair, specified as separate arguments of node indices or node names to indicate the source node and target node. This table shows the different ways to refer to nodes either by their node indices or by their node names.
| Value | Example |
|---|---|
| Scalar node index | 1 |
| Character vector node name | 'A' |
| String scalar node name | 'A' |
Example: mf = maxflow(G,'A','B')
Example: mf = maxflow(G,1,10)
Data Types: doublecharstring
algorithm — Maximum flow algorithm
'searchtrees' (default) 'augmentpath''pushrelabel'
Maximum flow algorithm, specified as one of the entries in the table.
Note
Free Flow Software
You can only specify nondefault algorithm options with a directed graph.
| Option | Description |
|---|---|
'searchtrees' (default) | Uses the Boykov-Kolmogorov algorithm. Computes the maximum flow by constructing two search trees associated with nodes |
'augmentpath' | Uses the Ford-Fulkerson algorithm. Computes the maximum flow iteratively by finding an augmenting path in a residual directed graph. The directed graph cannot have any parallel edges of opposite direction between the same two nodes, unless the weight of one of those edges is zero. So if the graph contains edge |
'pushrelabel' | Computes the maximum flow by pushing a node's excess flow to its neighbors and then relabeling the node. The directed graph cannot have any parallel edges of opposite direction between the same two nodes, unless the weight of one of those edges is zero. So if the graph contains edge |
Flow Software Inc
Example: mf = maxflow(G,'A','D','augmentpath')