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BpGraph Class Reference
Graph Structure Concepts

## Detailed Description

This class describes the common interface of all undirected bipartite graphs.

Like all concept classes, it only provides an interface without any sensible implementation. So any general algorithm for undirected bipartite graphs should compile with this class, but it will not run properly, of course. An actual graph implementation like ListBpGraph or SmartBpGraph may have additional functionality.

The bipartite graphs also fulfill the concept of undirected graphs. Bipartite graphs provide a bipartition of the node set, namely a red and blue set of the nodes. The nodes can be iterated with the RedNodeIt and BlueNodeIt in the two node sets. With RedNodeMap and BlueNodeMap values can be assigned to the nodes in the two sets.

The edges of the graph cannot connect two nodes of the same set. The edges inherent orientation is from the red nodes to the blue nodes.

See Also
  Graph

`#include <lemon/concepts/bpgraph.h>`

## Classes
class | Arc
| The arc type of the graph. More...
class | ArcIt
| Iterator class for the arcs. More...
class | ArcMap
| Standard graph map type for the arcs. More...
class | BlueNode
| Class to represent blue nodes. More...
class | BlueNodeIt
| Iterator class for the blue nodes. More...
class | BlueNodeMap
| Standard graph map type for the blue nodes. More...
class | Edge
| The edge type of the graph. More...
class | EdgeIt
| Iterator class for the edges. More...
class | EdgeMap
| Standard graph map type for the edges. More...
class | InArcIt
| Iterator class for the incoming arcs of a node. More...
class | IncEdgeIt
| Iterator class for the incident edges of a node. More...
class | Node
| The node type of the graph. More...
class | NodeIt
| Iterator class for the nodes. More...
class | NodeMap
| Standard graph map type for the nodes. More...
class | OutArcIt
| Iterator class for the outgoing arcs of a node. More...
class | RedNode
| Class to represent red nodes. More...
class | RedNodeIt
| Iterator class for the red nodes. More...
class | RedNodeMap
| Standard graph map type for the red nodes. More...

## Public Types
typedef True | UndirectedTag
| Undirected graphs should be tagged with `UndirectedTag`. More...

## Public Member Functions
| BpGraph ()
| Default constructor.
bool | red (const Node &) const
| Gives back true for red nodes. More...
bool | blue (const Node &) const
| Gives back true for blue nodes. More...
RedNode | asRedNodeUnsafe (const Node &) const
| Converts the node to red node object. More...
BlueNode | asBlueNodeUnsafe (const Node &) const
| Converts the node to blue node object. More...
RedNode | asRedNode (const Node &) const
| Converts the node to red node object. More...
BlueNode | asBlueNode (const Node &) const
| Converts the node to blue node object. More...
RedNode | redNode (const Edge &) const
| Gives back the red end node of the edge. More...
BlueNode | blueNode (const Edge &) const
| Gives back the blue end node of the edge. More...
Node | u (Edge) const
| The first node of the edge. More...
Node | v (Edge) const
| The second node of the edge. More...
Node | source (Arc) const
| The source node of the arc. More...
Node | target (Arc) const
| The target node of the arc. More...
int | id (Node) const
| The ID of the node. More...
int | id (RedNode) const
| The red ID of the node. More...
int | id (BlueNode) const
| The blue ID of the node. More...
int | id (Edge) const
| The ID of the edge. More...
int | id (Arc) const
| The ID of the arc. More...
Node | nodeFromId (int) const
| The node with the given ID. More...
Edge | edgeFromId (int) const
| The edge with the given ID. More...
Arc | arcFromId (int) const
| The arc with the given ID. More...
int | maxNodeId () const
| An upper bound on the node IDs. More...
int | maxRedId () const
| An upper bound on the red IDs. More...
int | maxBlueId () const
| An upper bound on the blue IDs. More...
int | maxEdgeId () const
| An upper bound on the edge IDs. More...
int | maxArcId () const
| An upper bound on the arc IDs. More...
bool | direction (Arc) const
| The direction of the arc. More...
Arc | direct (Edge, bool) const
| Direct the edge. More...
Arc | direct (Edge, Node) const
| Direct the edge. More...
Arc | oppositeArc (Arc) const
| The oppositely directed arc. More...
Node | oppositeNode (Node, Edge) const
| The opposite node on the edge. More...
Node | baseNode (IncEdgeIt) const
| The base node of the iterator. More...
Node | runningNode (IncEdgeIt) const
| The running node of the iterator. More...
Node | baseNode (OutArcIt) const
| The base node of the iterator. More...
Node | runningNode (OutArcIt) const
| The running node of the iterator. More...
Node | baseNode (InArcIt) const
| The base node of the iterator. More...
Node | runningNode (InArcIt) const
| The running node of the iterator. More...

## Private Member Functions
| BpGraph (const BpGraph &)
| BpGraphs are not copy constructible. Use bpGraphCopy instead.
void | operator= (const BpGraph &)
| Assignment of a graph to another one is not allowed. Use bpGraphCopy instead.

## Member Typedef Documentation

typedef True UndirectedTag

Undirected graphs should be tagged with `UndirectedTag`.

This tag helps the `enable_if` technics to make compile time specializations for undirected graphs.

## Member Function Documentation

bool red | ( | const Node & |  | ) | const
| inline

Gives back true for red nodes.

bool blue | ( | const Node & |  | ) | const
| inline

Gives back true for blue nodes.

RedNode asRedNodeUnsafe | ( | const Node & |  | ) | const
| inline

This function converts unsafely the node to red node object. It should be called only if the node is from the red partition or INVALID.

BlueNode asBlueNodeUnsafe | ( | const Node & |  | ) | const
| inline

This function converts unsafely the node to blue node object. It should be called only if the node is from the red partition or INVALID.

RedNode asRedNode | ( | const Node & |  | ) | const
| inline

This function converts safely the node to red node object. If the node is not from the red partition, then it returns INVALID.

BlueNode asBlueNode | ( | const Node & |  | ) | const
| inline

This function converts unsafely the node to blue node object. If the node is not from the blue partition, then it returns INVALID.

RedNode redNode | ( | const Edge & |  | ) | const
| inline

Gives back the red end node of the edge.

BlueNode blueNode | ( | const Edge & |  | ) | const
| inline

Gives back the blue end node of the edge.

Node u | ( | Edge |  | ) | const
| inline

It is a synonim for the `redNode()`.

Node v | ( | Edge |  | ) | const
| inline

It is a synonim for the `blueNode()`.

Node source | ( | Arc |  | ) | const
| inline

Returns the source node of the given arc.

Node target | ( | Arc |  | ) | const
| inline

Returns the target node of the given arc.

int id | ( | Node |  | ) | const
| inline

Returns the ID of the given node.

int id | ( | RedNode |  | ) | const
| inline

Returns the red ID of the given node.

int id | ( | BlueNode |  | ) | const
| inline

Returns the blue ID of the given node.

int id | ( | Edge |  | ) | const
| inline

Returns the ID of the given edge.

int id | ( | Arc |  | ) | const
| inline

Returns the ID of the given arc.

Node nodeFromId | ( | int |  | ) | const
| inline

Returns the node with the given ID.

Precondition
  The argument should be a valid node ID in the graph.

Edge edgeFromId | ( | int |  | ) | const
| inline

Returns the edge with the given ID.

Precondition
  The argument should be a valid edge ID in the graph.

Arc arcFromId | ( | int |  | ) | const
| inline

Returns the arc with the given ID.

Precondition
  The argument should be a valid arc ID in the graph.

int maxNodeId | ( |  | ) | const
| inline

Returns an upper bound on the node IDs.

int maxRedId | ( |  | ) | const
| inline

Returns an upper bound on the red IDs.

int maxBlueId | ( |  | ) | const
| inline

Returns an upper bound on the blue IDs.

int maxEdgeId | ( |  | ) | const
| inline

Returns an upper bound on the edge IDs.

int maxArcId | ( |  | ) | const
| inline

Returns an upper bound on the arc IDs.

bool direction | ( | Arc |  | ) | const
| inline

Returns `true` if the given arc goes from a red node to a blue node.

Arc direct | ( | Edge | ,
|  | bool |
| ) |  | const
| inline

Direct the given edge. The returned arc represents the given edge and its direction comes from the bool parameter. If it is `true`, then the source of the node will be a red node.

Arc direct | ( | Edge | ,
|  | Node |
| ) |  | const
| inline

Direct the given edge. The returned arc represents the given edge and its source node is the given node.

Arc oppositeArc | ( | Arc |  | ) | const
| inline

Returns the oppositely directed arc representing the same edge.

Node oppositeNode | ( | Node | ,
|  | Edge |
| ) |  | const
| inline

Returns the opposite node on the given edge.

Node baseNode | ( | IncEdgeIt |  | ) | const
| inline

Returns the base node of the given incident edge iterator.

Node runningNode | ( | IncEdgeIt |  | ) | const
| inline

Returns the running node of the given incident edge iterator.

Node baseNode | ( | OutArcIt |  | ) | const
| inline

Returns the base node of the given outgoing arc iterator (i.e. the source node of the corresponding arc).

Node runningNode | ( | OutArcIt |  | ) | const
| inline

Returns the running node of the given outgoing arc iterator (i.e. the target node of the corresponding arc).

Node baseNode | ( | InArcIt |  | ) | const
| inline

Returns the base node of the given incoming arc iterator (i.e. the target node of the corresponding arc).

Node runningNode | ( | InArcIt |  | ) | const
| inline

Returns the running node of the given incoming arc iterator (i.e. the source node of the corresponding arc).