N - Node parameter type@Beta public interface Graph<N>
A graph is composed of a set of nodes and a set of edges connecting pairs of nodes.
There are three primary interfaces provided to represent graphs. In order of increasing
 complexity they are: Graph, ValueGraph, and Network. You should generally
 prefer the simplest interface that satisfies your use case. See the 
 "Choosing the right graph type" section of the Guava User Guide for more details.
 
Graph supports the following use cases (definitions of
 terms):
 
Graph explicitly does not support parallel edges, and forbids implementations or
 extensions with parallel edges. If you need parallel edges, use Network.
 
GraphThe implementation classes that common.graph provides are not public, by design. To
 create an instance of one of the built-in implementations of Graph, use the
 GraphBuilder class:
 
   MutableGraph<Integer> graph = GraphBuilder.undirected().build();
 
 GraphBuilder.build() returns an instance of MutableGraph, which is a subtype
 of Graph that provides methods for adding and removing nodes and edges. If you do not
 need to mutate a graph (e.g. if you write a method than runs a read-only algorithm on the graph),
 you should use the non-mutating Graph interface, or an ImmutableGraph.
 
You can create an immutable copy of an existing Graph using ImmutableGraph.copyOf(Graph):
 
   ImmutableGraph<Integer> immutableGraph = ImmutableGraph.copyOf(graph);
 
 Instances of ImmutableGraph do not implement MutableGraph (obviously!) and are
 contractually guaranteed to be unmodifiable and thread-safe.
 
The Guava User Guide has more information on (and examples of) building graphs.
See the Guava User Guide for the common.graph package ("Graphs Explained") for
 additional documentation, including:
 
| Modifier and Type | Method and Description | 
|---|---|
Set<N> | 
adjacentNodes(N node)
Returns the nodes which have an incident edge in common with  
node in this graph. | 
boolean | 
allowsSelfLoops()
Returns true if this graph allows self-loops (edges that connect a node to itself). 
 | 
int | 
degree(N node)
Returns the count of  
node's incident edges, counting self-loops twice (equivalently,
 the number of times an edge touches node). | 
Set<EndpointPair<N>> | 
edges()
Returns all edges in this graph. 
 | 
boolean | 
equals(Object object)
Returns  
true iff object is a Graph that has the same elements and the
 same structural relationships as those in this graph. | 
boolean | 
hasEdgeConnecting(N nodeU,
                 N nodeV)
Returns true if there is an edge directly connecting  
nodeU to nodeV. | 
int | 
hashCode()
Returns the hash code for this graph. 
 | 
int | 
inDegree(N node)
Returns the count of  
node's incoming edges (equal to predecessors(node).size())
 in a directed graph. | 
boolean | 
isDirected()
Returns true if the edges in this graph are directed. 
 | 
ElementOrder<N> | 
nodeOrder()
Returns the order of iteration for the elements of  
nodes(). | 
Set<N> | 
nodes()
Returns all nodes in this graph, in the order specified by  
nodeOrder(). | 
int | 
outDegree(N node)
Returns the count of  
node's outgoing edges (equal to successors(node).size())
 in a directed graph. | 
Set<N> | 
predecessors(N node)
Returns all nodes in this graph adjacent to  
node which can be reached by traversing
 node's incoming edges against the direction (if any) of the edge. | 
Set<N> | 
successors(N node)
Returns all nodes in this graph adjacent to  
node which can be reached by traversing
 node's outgoing edges in the direction (if any) of the edge. | 
Set<N> nodes()
nodeOrder().Set<EndpointPair<N>> edges()
boolean isDirected()
source node to a target node, while
 undirected edges connect a pair of nodes to each other.boolean allowsSelfLoops()
IllegalArgumentException.ElementOrder<N> nodeOrder()
nodes().Set<N> adjacentNodes(N node)
node in this graph.Set<N> predecessors(N node)
node which can be reached by traversing
 node's incoming edges against the direction (if any) of the edge.
 In an undirected graph, this is equivalent to adjacentNodes(Object).
Set<N> successors(N node)
node which can be reached by traversing
 node's outgoing edges in the direction (if any) of the edge.
 In an undirected graph, this is equivalent to adjacentNodes(Object).
 
This is not the same as "all nodes reachable from node by following outgoing
 edges". For that functionality, see Graphs.reachableNodes(Graph, Object).
int degree(N node)
node's incident edges, counting self-loops twice (equivalently,
 the number of times an edge touches node).
 For directed graphs, this is equal to inDegree(node) + outDegree(node).
 
For undirected graphs, this is equal to adjacentNodes(node).size() + (1 if node has an incident self-loop, 0 otherwise).
 
If the count is greater than Integer.MAX_VALUE, returns Integer.MAX_VALUE.
int inDegree(N node)
node's incoming edges (equal to predecessors(node).size())
 in a directed graph. In an undirected graph, returns the degree(Object).
 If the count is greater than Integer.MAX_VALUE, returns Integer.MAX_VALUE.
int outDegree(N node)
node's outgoing edges (equal to successors(node).size())
 in a directed graph. In an undirected graph, returns the degree(Object).
 If the count is greater than Integer.MAX_VALUE, returns Integer.MAX_VALUE.
boolean hasEdgeConnecting(N nodeU, N nodeV)
nodeU to nodeV. This is
 equivalent to nodes().contains(nodeU) && successors(nodeU).contains(nodeV).
 In an undirected graph, this is equal to hasEdgeConnecting(nodeV, nodeU).
boolean equals(@Nullable Object object)
true iff object is a Graph that has the same elements and the
 same structural relationships as those in this graph.
 Thus, two graphs A and B are equal if all of the following are true:
directedness.
 node sets.
 edge sets.
 Graph properties besides directedness do not affect equality.
 For example, two graphs may be considered equal even if one allows self-loops and the other
 doesn't. Additionally, the order in which nodes or edges are added to the graph, and the order
 in which they are iterated over, are irrelevant.
 
A reference implementation of this is provided by AbstractGraph.equals(Object).
int hashCode()
edges().
 A reference implementation of this is provided by AbstractGraph.hashCode().
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