An unweighted graph suitable for sparse graphs.
The adjacency list representation of a graph is a collection of lists, one for each node in the graph. Each list contains the nodes that are adjacent to the node that the list represents, and is associated with the node with a hash table.
Implicitly adds and removes nodes as edges are added and removed, respectively. A node is considered to be in the graph if it is present in the adjacency list of another node or if it has one or more edges originating from it:
final graph = AdjacencyListGraph<String>();
graph.addEdge(Edge('a', 'b'));
graph.addEdge(Edge('b', 'c'));
print(graph.roots); // ['a']
print(graph.isEmpty); // false
graph.removeEdge(Edge('a', 'b'));
print(graph.roots); // []
print(graph.isEmpty); // true
Performance
The adjacency list representation is ideal for sparse graphs, where the number of edges is much smaller than the number of nodes, or small overall; in this case, the adjacency list representation can be more memory efficient than other representations.
Operation | Time Complexity |
---|---|
containsEdge |
O(1) |
containsRoot |
O(n) |
addEdge |
O(1) |
removeEdge |
O(m)^1 |
edges |
O(n + m) |
^1
: Where m
is the number of edges in the source node.
Constructors
- AdjacencyListGraph({bool directed = true})
-
Creates an empty adjacency list graph.
factory
-
AdjacencyListGraph.from(WalkableBase<
E> walkable, {bool directed = true}) -
Creates an adjacency list graph from a
walkable
.factory -
AdjacencyListGraph.fromEdges(Iterable<
Edge< edges, {bool directed = true})E> > -
Creates an adjacency list graph from
edges
.factory
Properties
-
edges
→ Iterable<
Edge< E> > -
Each edge in the collection.
no setterinherited
- hashCode → int
-
The hash code for this object.
no setterinherited
- isEmpty → bool
-
Returns
true
if the walkable collection has no nodes.no setterinherited - isNotEmpty → bool
-
Returns
true
if the walkable collection has one or more nodes.no setterinherited -
roots
→ Iterable<
E> -
Each node that is exposed as a root node of the walkable collection.
no setterinherited
- runtimeType → Type
-
A representation of the runtime type of the object.
no setterinherited
Methods
-
addEdge(
Edge< E> edge) → bool -
Adds an
edge
from to the graph.inherited -
addEdges(
Iterable< Edge< edges) → voidE> > -
Adds multiple edges to the graph.
inherited
-
asUnweighted(
) → Walkable< E> -
Returns a view of this walkable as an unweighted walkable.
inherited
-
asWeighted(
double weight(E source, E target)) → WeightedWalkable< E> -
Returns a view of this walkable as a weighted walkable.
inherited
-
clear(
) → void -
Clears the graph of all nodes and edges.
inherited
-
containsEdge(
Edge< E> edge) → bool -
Returns whether the collection contains an
edge
connecting two nodes.inherited -
containsRoot(
E node) → bool -
Returns whether the collection contains a root node.
inherited
-
noSuchMethod(
Invocation invocation) → dynamic -
Invoked when a nonexistent method or property is accessed.
inherited
-
removeEdge(
Edge< E> edge) → bool -
Removes an
edge
from the graph.inherited -
successors(
E node) → Iterable< E> -
Returns each distinct node that is a direct successor of the given
node
.inherited -
toString(
) → String -
Returns a string representation of (some of) the nodes of
this
.inherited
Operators
-
operator ==(
Object other) → bool -
The equality operator.
inherited