| """View of Graphs as SubGraph, Reverse, Directed, Undirected. |
| |
| In some algorithms it is convenient to temporarily morph |
| a graph to exclude some nodes or edges. It should be better |
| to do that via a view than to remove and then re-add. |
| In other algorithms it is convenient to temporarily morph |
| a graph to reverse directed edges, or treat a directed graph |
| as undirected, etc. This module provides those graph views. |
| |
| The resulting views are essentially read-only graphs that |
| report data from the original graph object. We provide an |
| attribute G._graph which points to the underlying graph object. |
| |
| Note: Since graphviews look like graphs, one can end up with |
| view-of-view-of-view chains. Be careful with chains because |
| they become very slow with about 15 nested views. |
| For the common simple case of node induced subgraphs created |
| from the graph class, we short-cut the chain by returning a |
| subgraph of the original graph directly rather than a subgraph |
| of a subgraph. We are careful not to disrupt any edge filter in |
| the middle subgraph. In general, determining how to short-cut |
| the chain is tricky and much harder with restricted_views than |
| with induced subgraphs. |
| Often it is easiest to use .copy() to avoid chains. |
| """ |
|
|
| import networkx as nx |
| from networkx.classes.coreviews import ( |
| FilterAdjacency, |
| FilterAtlas, |
| FilterMultiAdjacency, |
| UnionAdjacency, |
| UnionMultiAdjacency, |
| ) |
| from networkx.classes.filters import no_filter |
| from networkx.exception import NetworkXError |
| from networkx.utils import not_implemented_for |
|
|
| __all__ = ["generic_graph_view", "subgraph_view", "reverse_view"] |
|
|
|
|
| def generic_graph_view(G, create_using=None): |
| """Returns a read-only view of `G`. |
| |
| The graph `G` and its attributes are not copied but viewed through the new graph object |
| of the same class as `G` (or of the class specified in `create_using`). |
| |
| Parameters |
| ---------- |
| G : graph |
| A directed/undirected graph/multigraph. |
| |
| create_using : NetworkX graph constructor, optional (default=None) |
| Graph type to create. If graph instance, then cleared before populated. |
| If `None`, then the appropriate Graph type is inferred from `G`. |
| |
| Returns |
| ------- |
| newG : graph |
| A view of the input graph `G` and its attributes as viewed through |
| the `create_using` class. |
| |
| Raises |
| ------ |
| NetworkXError |
| If `G` is a multigraph (or multidigraph) but `create_using` is not, or vice versa. |
| |
| Notes |
| ----- |
| The returned graph view is read-only (cannot modify the graph). |
| Yet the view reflects any changes in `G`. The intent is to mimic dict views. |
| |
| Examples |
| -------- |
| >>> G = nx.Graph() |
| >>> G.add_edge(1, 2, weight=0.3) |
| >>> G.add_edge(2, 3, weight=0.5) |
| >>> G.edges(data=True) |
| EdgeDataView([(1, 2, {'weight': 0.3}), (2, 3, {'weight': 0.5})]) |
| |
| The view exposes the attributes from the original graph. |
| |
| >>> viewG = nx.graphviews.generic_graph_view(G) |
| >>> viewG.edges(data=True) |
| EdgeDataView([(1, 2, {'weight': 0.3}), (2, 3, {'weight': 0.5})]) |
| |
| Changes to `G` are reflected in `viewG`. |
| |
| >>> G.remove_edge(2, 3) |
| >>> G.edges(data=True) |
| EdgeDataView([(1, 2, {'weight': 0.3})]) |
| |
| >>> viewG.edges(data=True) |
| EdgeDataView([(1, 2, {'weight': 0.3})]) |
| |
| We can change the graph type with the `create_using` parameter. |
| |
| >>> type(G) |
| <class 'networkx.classes.graph.Graph'> |
| >>> viewDG = nx.graphviews.generic_graph_view(G, create_using=nx.DiGraph) |
| >>> type(viewDG) |
| <class 'networkx.classes.digraph.DiGraph'> |
| """ |
| if create_using is None: |
| newG = G.__class__() |
| else: |
| newG = nx.empty_graph(0, create_using) |
| if G.is_multigraph() != newG.is_multigraph(): |
| raise NetworkXError("Multigraph for G must agree with create_using") |
| newG = nx.freeze(newG) |
|
|
| |
| newG._graph = G |
| newG.graph = G.graph |
|
|
| newG._node = G._node |
| if newG.is_directed(): |
| if G.is_directed(): |
| newG._succ = G._succ |
| newG._pred = G._pred |
| |
| else: |
| newG._succ = G._adj |
| newG._pred = G._adj |
| |
| elif G.is_directed(): |
| if G.is_multigraph(): |
| newG._adj = UnionMultiAdjacency(G._succ, G._pred) |
| else: |
| newG._adj = UnionAdjacency(G._succ, G._pred) |
| else: |
| newG._adj = G._adj |
| return newG |
|
|
|
|
| def subgraph_view(G, *, filter_node=no_filter, filter_edge=no_filter): |
| """View of `G` applying a filter on nodes and edges. |
| |
| `subgraph_view` provides a read-only view of the input graph that excludes |
| nodes and edges based on the outcome of two filter functions `filter_node` |
| and `filter_edge`. |
| |
| The `filter_node` function takes one argument --- the node --- and returns |
| `True` if the node should be included in the subgraph, and `False` if it |
| should not be included. |
| |
| The `filter_edge` function takes two (or three arguments if `G` is a |
| multi-graph) --- the nodes describing an edge, plus the edge-key if |
| parallel edges are possible --- and returns `True` if the edge should be |
| included in the subgraph, and `False` if it should not be included. |
| |
| Both node and edge filter functions are called on graph elements as they |
| are queried, meaning there is no up-front cost to creating the view. |
| |
| Parameters |
| ---------- |
| G : networkx.Graph |
| A directed/undirected graph/multigraph |
| |
| filter_node : callable, optional |
| A function taking a node as input, which returns `True` if the node |
| should appear in the view. |
| |
| filter_edge : callable, optional |
| A function taking as input the two nodes describing an edge (plus the |
| edge-key if `G` is a multi-graph), which returns `True` if the edge |
| should appear in the view. |
| |
| Returns |
| ------- |
| graph : networkx.Graph |
| A read-only graph view of the input graph. |
| |
| Examples |
| -------- |
| >>> G = nx.path_graph(6) |
| |
| Filter functions operate on the node, and return `True` if the node should |
| appear in the view: |
| |
| >>> def filter_node(n1): |
| ... return n1 != 5 |
| >>> view = nx.subgraph_view(G, filter_node=filter_node) |
| >>> view.nodes() |
| NodeView((0, 1, 2, 3, 4)) |
| |
| We can use a closure pattern to filter graph elements based on additional |
| data --- for example, filtering on edge data attached to the graph: |
| |
| >>> G[3][4]["cross_me"] = False |
| >>> def filter_edge(n1, n2): |
| ... return G[n1][n2].get("cross_me", True) |
| >>> view = nx.subgraph_view(G, filter_edge=filter_edge) |
| >>> view.edges() |
| EdgeView([(0, 1), (1, 2), (2, 3), (4, 5)]) |
| |
| >>> view = nx.subgraph_view( |
| ... G, |
| ... filter_node=filter_node, |
| ... filter_edge=filter_edge, |
| ... ) |
| >>> view.nodes() |
| NodeView((0, 1, 2, 3, 4)) |
| >>> view.edges() |
| EdgeView([(0, 1), (1, 2), (2, 3)]) |
| """ |
| newG = nx.freeze(G.__class__()) |
| newG._NODE_OK = filter_node |
| newG._EDGE_OK = filter_edge |
|
|
| |
| newG._graph = G |
| newG.graph = G.graph |
|
|
| newG._node = FilterAtlas(G._node, filter_node) |
| if G.is_multigraph(): |
| Adj = FilterMultiAdjacency |
|
|
| def reverse_edge(u, v, k=None): |
| return filter_edge(v, u, k) |
|
|
| else: |
| Adj = FilterAdjacency |
|
|
| def reverse_edge(u, v, k=None): |
| return filter_edge(v, u) |
|
|
| if G.is_directed(): |
| newG._succ = Adj(G._succ, filter_node, filter_edge) |
| newG._pred = Adj(G._pred, filter_node, reverse_edge) |
| |
| else: |
| newG._adj = Adj(G._adj, filter_node, filter_edge) |
| return newG |
|
|
|
|
| @not_implemented_for("undirected") |
| def reverse_view(G): |
| """View of `G` with edge directions reversed |
| |
| `reverse_view` returns a read-only view of the input graph where |
| edge directions are reversed. |
| |
| Identical to digraph.reverse(copy=False) |
| |
| Parameters |
| ---------- |
| G : networkx.DiGraph |
| |
| Returns |
| ------- |
| graph : networkx.DiGraph |
| |
| Examples |
| -------- |
| >>> G = nx.DiGraph() |
| >>> G.add_edge(1, 2) |
| >>> G.add_edge(2, 3) |
| >>> G.edges() |
| OutEdgeView([(1, 2), (2, 3)]) |
| |
| >>> view = nx.reverse_view(G) |
| >>> view.edges() |
| OutEdgeView([(2, 1), (3, 2)]) |
| """ |
| newG = generic_graph_view(G) |
| newG._succ, newG._pred = G._pred, G._succ |
| |
| return newG |
|
|