public class FlowNetwork extends Object
FlowNetwork
class represents a capacitated network
with vertices named 0 through V  1, where each directed
edge is of type FlowEdge
and has a realvalued capacity
and flow.
It supports the following two primary operations: add an edge to the network,
iterate over all of the edges incident to or from a vertex. It also provides
methods for returning the number of vertices V and the number
of edges E. Parallel edges and selfloops are permitted.
This implementation uses an adjacencylists representation, which
is a vertexindexed array of Bag
objects.
All operations take constant time (in the worst case) except
iterating over the edges incident to a given vertex, which takes
time proportional to the number of such edges.
For additional documentation, see Section 6.4 of Algorithms, 4th Edition by Robert Sedgewick and Kevin Wayne.
Constructor and Description 

FlowNetwork(In in)
Initializes a flow network from an input stream.

FlowNetwork(int V)
Initializes an empty flow network with
V vertices and 0 edges. 
FlowNetwork(int V,
int E)
Initializes a random flow network with
V vertices and E edges. 
Modifier and Type  Method and Description 

void 
addEdge(FlowEdge e)
Adds the edge
e to the network. 
Iterable<FlowEdge> 
adj(int v)
Returns the edges incident on vertex
v (includes both edges pointing to
and from v ). 
int 
E()
Returns the number of edges in the edgeweighted graph.

Iterable<FlowEdge> 
edges() 
static void 
main(String[] args)
Unit tests the
FlowNetwork data type. 
String 
toString()
Returns a string representation of the flow network.

int 
V()
Returns the number of vertices in the edgeweighted graph.

public FlowNetwork(int V)
V
vertices and 0 edges.V
 the number of verticesIllegalArgumentException
 if V < 0
public FlowNetwork(int V, int E)
V
vertices and E edges.
The capacities are integers between 0 and 99 and the flow values are zero.V
 the number of verticesE
 the number of edgesIllegalArgumentException
 if V < 0
IllegalArgumentException
 if E < 0
public FlowNetwork(In in)
in
 the input streamIllegalArgumentException
 if the endpoints of any edge are not in prescribed rangeIllegalArgumentException
 if the number of vertices or edges is negativepublic int V()
public int E()
public void addEdge(FlowEdge e)
e
to the network.e
 the edgeIllegalArgumentException
 unless endpoints of edge are between
0
and V1
public Iterable<FlowEdge> adj(int v)
v
(includes both edges pointing to
and from v
).v
 the vertexv
as an IterableIllegalArgumentException
 unless 0 <= v < V
public String toString()
public static void main(String[] args)
FlowNetwork
data type.args
 the commandline arguments