pub struct StableGraph<N, E, Ty = Directed, Ix = DefaultIx> { /* private fields */ }
Expand description

StableGraph<N, E, Ty, Ix> is a graph datastructure using an adjacency list representation.

The graph does not invalidate any unrelated node or edge indices when items are removed.

StableGraph is parameterized over:

  • Associated data N for nodes and E for edges, also called weights. The associated data can be of arbitrary type.
  • Edge type Ty that determines whether the graph edges are directed or undirected.
  • Index type Ix, which determines the maximum size of the graph.

The graph uses O(|V| + |E|) space, and allows fast node and edge insert and efficient graph search.

It implements O(e’) edge lookup and edge and node removals, where e’ is some local measure of edge count.

  • Nodes and edges are each numbered in an interval from 0 to some number m, but not all indices in the range are valid, since gaps are formed by deletions.

  • You can select graph index integer type after the size of the graph. A smaller size may have better performance.

  • Using indices allows mutation while traversing the graph, see Dfs.

  • The StableGraph is a regular rust collection and is Send and Sync (as long as associated data N and E are).

  • Indices don’t allow as much compile time checking as references.

Depends on crate feature stable_graph (default). Stable Graph is still missing a few methods compared to Graph. You can contribute to help it achieve parity.

Implementations

Create a new StableGraph with directed edges.

This is a convenience method. See StableGraph::with_capacity or StableGraph::default for a constructor that is generic in all the type parameters of StableGraph.

Create a new StableGraph with estimated capacity.

Return the current node and edge capacity of the graph.

Remove all nodes and edges

Remove all edges

Return the number of nodes (vertices) in the graph.

Computes in O(1) time.

Return the number of edges in the graph.

Computes in O(1) time.

Whether the graph has directed edges or not.

Add a node (also called vertex) with associated data weight to the graph.

Computes in O(1) time.

Return the index of the new node.

Panics if the StableGraph is at the maximum number of nodes for its index type.

Remove a from the graph if it exists, and return its weight. If it doesn’t exist in the graph, return None.

The node index a is invalidated, but none other. Edge indices are invalidated as they would be following the removal of each edge with an endpoint in a.

Computes in O(e’) time, where e’ is the number of affected edges, including n calls to .remove_edge() where n is the number of edges with an endpoint in a.

Add an edge from a to b to the graph, with its associated data weight.

Return the index of the new edge.

Computes in O(1) time.

Panics if any of the nodes don’t exist.
Panics if the StableGraph is at the maximum number of edges for its index type.

Note: StableGraph allows adding parallel (“duplicate”) edges.

Add or update an edge from a to b. If the edge already exists, its weight is updated.

Return the index of the affected edge.

Computes in O(e’) time, where e’ is the number of edges connected to a (and b, if the graph edges are undirected).

Panics if any of the nodes don’t exist.

Remove an edge and return its edge weight, or None if it didn’t exist.

Invalidates the edge index e but no other.

Computes in O(e’) time, where e’ is the number of edges connected to the same endpoints as e.

Access the weight for node a.

Also available with indexing syntax: &graph[a].

Access the weight for node a, mutably.

Also available with indexing syntax: &mut graph[a].

Return an iterator yielding immutable access to all node weights.

The order in which weights are yielded matches the order of their node indices.

Return an iterator yielding mutable access to all node weights.

The order in which weights are yielded matches the order of their node indices.

Return an iterator over the node indices of the graph

Access the weight for edge e.

Also available with indexing syntax: &graph[e].

Access the weight for edge e, mutably

Also available with indexing syntax: &mut graph[e].

Return an iterator yielding immutable access to all edge weights.

The order in which weights are yielded matches the order of their edge indices.

Return an iterator yielding mutable access to all edge weights.

The order in which weights are yielded matches the order of their edge indices.

Access the source and target nodes for e.

Return an iterator over the edge indices of the graph

Lookup if there is an edge from a to b.

Computes in O(e’) time, where e’ is the number of edges connected to a (and b, if the graph edges are undirected).

Lookup an edge from a to b.

Computes in O(e’) time, where e’ is the number of edges connected to a (and b, if the graph edges are undirected).

Lookup an edge between a and b, in either direction.

If the graph is undirected, then this is equivalent to .find_edge().

Return the edge index and its directionality, with Outgoing meaning from a to b and Incoming the reverse, or None if the edge does not exist.

Return an iterator of all nodes with an edge starting from a.

  • Directed: Outgoing edges from a.
  • Undirected: All edges connected to a.

Produces an empty iterator if the node doesn’t exist.
Iterator element type is NodeIndex<Ix>.

Use .neighbors(a).detach() to get a neighbor walker that does not borrow from the graph.

Return an iterator of all neighbors that have an edge between them and a, in the specified direction. If the graph’s edges are undirected, this is equivalent to .neighbors(a).

  • Directed, Outgoing: All edges from a.
  • Directed, Incoming: All edges to a.
  • Undirected: All edges connected to a.

Produces an empty iterator if the node doesn’t exist.
Iterator element type is NodeIndex<Ix>.

Use .neighbors_directed(a, dir).detach() to get a neighbor walker that does not borrow from the graph.

Return an iterator of all neighbors that have an edge between them and a, in either direction. If the graph’s edges are undirected, this is equivalent to .neighbors(a).

  • Directed and Undirected: All edges connected to a.

Produces an empty iterator if the node doesn’t exist.
Iterator element type is NodeIndex<Ix>.

Use .neighbors_undirected(a).detach() to get a neighbor walker that does not borrow from the graph.

Return an iterator of all edges of a.

  • Directed: Outgoing edges from a.
  • Undirected: All edges connected to a.

Produces an empty iterator if the node doesn’t exist.
Iterator element type is EdgeReference<E, Ix>.

Return an iterator of all edges of a, in the specified direction.

  • Directed, Outgoing: All edges from a.
  • Directed, Incoming: All edges to a.
  • Undirected, Outgoing: All edges connected to a, with a being the source of each edge.
  • Undirected, Incoming: All edges connected to a, with a being the target of each edge.

Produces an empty iterator if the node a doesn’t exist.
Iterator element type is EdgeReference<E, Ix>.

Return an iterator over either the nodes without edges to them (Incoming) or from them (Outgoing).

An internal node has both incoming and outgoing edges. The nodes in .externals(Incoming) are the source nodes and .externals(Outgoing) are the sinks of the graph.

For a graph with undirected edges, both the sinks and the sources are just the nodes without edges.

The whole iteration computes in O(|V|) time.

Index the StableGraph by two indices, any combination of node or edge indices is fine.

Panics if the indices are equal or if they are out of bounds.

Keep all nodes that return true from the visit closure, remove the others.

visit is provided a proxy reference to the graph, so that the graph can be walked and associated data modified.

The order nodes are visited is not specified.

The node indices of the removed nodes are invalidated, but none other. Edge indices are invalidated as they would be following the removal of each edge with an endpoint in a removed node.

Computes in O(n + e’) time, where n is the number of node indices and e’ is the number of affected edges, including n calls to .remove_edge() where n is the number of edges with an endpoint in a removed node.

Keep all edges that return true from the visit closure, remove the others.

visit is provided a proxy reference to the graph, so that the graph can be walked and associated data modified.

The order edges are visited is not specified.

The edge indices of the removed edes are invalidated, but none other.

Computes in O(e’‘) time, e’ is the number of affected edges, including the calls to .remove_edge() for each removed edge.

Create a new StableGraph from an iterable of edges.

Node weights N are set to default values. Edge weights E may either be specified in the list, or they are filled with default values.

Nodes are inserted automatically to match the edges.

use petgraph::stable_graph::StableGraph;

let gr = StableGraph::<(), i32>::from_edges(&[
    (0, 1), (0, 2), (0, 3),
    (1, 2), (1, 3),
    (2, 3),
]);

Create a new StableGraph by mapping node and edge weights to new values.

The resulting graph has the same structure and the same graph indices as self.

Create a new StableGraph by mapping nodes and edges. A node or edge may be mapped to None to exclude it from the resulting graph.

Nodes are mapped first with the node_map closure, then edge_map is called for the edges that have not had any endpoint removed.

The resulting graph has the structure of a subgraph of the original graph. Nodes and edges that are not removed maintain their old node or edge indices.

Extend the graph from an iterable of edges.

Node weights N are set to default values. Edge weights E may either be specified in the list, or they are filled with default values.

Nodes are inserted automatically to match the edges.

Trait Implementations

Add a new edge. If parallel edges (duplicate) are not allowed and the edge already exists, return None. Read more
Add or update the edge from a to b. Return the id of the affected edge. Read more

The resulting cloned graph has the same graph indices as self.

Returns a copy of the value. Read more
Performs copy-assignment from source. Read more
Formats the value using the given formatter. Read more

Create a new empty StableGraph.

Returns the “default value” for a type. Read more
Return the number of edges in the graph.
Return an upper bound of the edge indices in the graph (suitable for the size of a bitmap). Read more
Convert a to an integer index.
Convert i to an edge index. i must be a valid value in the graph.

Convert a Graph into a StableGraph

Computes in O(|V| + |E|) time.

The resulting graph has the same node and edge indices as the original graph.

Converts to this type from the input type.

Convert a StableGraph into a Graph

Computes in O(|V| + |E|) time.

This translates the stable graph into a graph with node and edge indices in a compact interval without holes (like Graphs always are).

Only if the stable graph had no vacancies after deletions (if node bound was equal to node count, and the same for edges), would the resulting graph have the same node and edge indices as the input.

Converts to this type from the input type.

The adjacency matrix for Graph is a bitmap that’s computed by .adjacency_matrix().

The associated adjacency matrix type
Create the adjacency matrix
Return true if there is an edge from a to b, false otherwise. Read more
node identifier
edge identifier
The kind edges in the graph.

Index the StableGraph by EdgeIndex to access edge weights.

Panics if the edge doesn’t exist.

The returned type after indexing.
Performs the indexing (container[index]) operation. Read more

Index the StableGraph by NodeIndex to access node weights.

Panics if the node doesn’t exist.

The returned type after indexing.
Performs the indexing (container[index]) operation. Read more

Index the StableGraph by EdgeIndex to access edge weights.

Panics if the edge doesn’t exist.

Performs the mutable indexing (container[index]) operation. Read more

Index the StableGraph by NodeIndex to access node weights.

Panics if the node doesn’t exist.

Performs the mutable indexing (container[index]) operation. Read more

Create an iterator over all edges in the graph, in indexed order.

Iterator element type is EdgeReference<E, Ix>.

Return an iterator of the neighbors of node a.

Return an upper bound of the node indices in the graph

Convert a to an integer index.
Convert i to a node index. i must be a valid value in the graph.
The associated map type
Create a new visitor map
Reset the visitor map (and resize to new size of graph if needed)

Auto Trait Implementations

Blanket Implementations

Gets the TypeId of self. Read more
Immutably borrows from an owned value. Read more
Mutably borrows from an owned value. Read more

Returns the argument unchanged.

Calls U::from(self).

That is, this conversion is whatever the implementation of From<T> for U chooses to do.

The resulting type after obtaining ownership.
Creates owned data from borrowed data, usually by cloning. Read more
Uses borrowed data to replace owned data, usually by cloning. Read more
The type returned in the event of a conversion error.
Performs the conversion.
The type returned in the event of a conversion error.
Performs the conversion.