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# Copyright (c) 2024, NVIDIA CORPORATION. | ||
# Licensed under the Apache License, Version 2.0 (the "License"); | ||
# you may not use this file except in compliance with the License. | ||
# You may obtain a copy of the License at | ||
# | ||
# http://www.apache.org/licenses/LICENSE-2.0 | ||
# | ||
# Unless required by applicable law or agreed to in writing, software | ||
# distributed under the License is distributed on an "AS IS" BASIS, | ||
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. | ||
# See the License for the specific language governing permissions and | ||
# limitations under the License. | ||
from .recognition import * |
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python/nx-cugraph/nx_cugraph/algorithms/tree/recognition.py
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# Copyright (c) 2024, NVIDIA CORPORATION. | ||
# Licensed under the Apache License, Version 2.0 (the "License"); | ||
# you may not use this file except in compliance with the License. | ||
# You may obtain a copy of the License at | ||
# | ||
# http://www.apache.org/licenses/LICENSE-2.0 | ||
# | ||
# Unless required by applicable law or agreed to in writing, software | ||
# distributed under the License is distributed on an "AS IS" BASIS, | ||
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. | ||
# See the License for the specific language governing permissions and | ||
# limitations under the License. | ||
import cupy as cp | ||
import networkx as nx | ||
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import nx_cugraph as nxcg | ||
from nx_cugraph.convert import _to_directed_graph, _to_graph | ||
from nx_cugraph.utils import networkx_algorithm, not_implemented_for | ||
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__all__ = ["is_arborescence", "is_branching", "is_forest", "is_tree"] | ||
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@not_implemented_for("undirected") | ||
@networkx_algorithm(plc="weakly_connected_components", version_added="24.02") | ||
def is_arborescence(G): | ||
G = _to_directed_graph(G) | ||
return is_tree(G) and int(G._in_degrees_array().max()) <= 1 | ||
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@not_implemented_for("undirected") | ||
@networkx_algorithm(plc="weakly_connected_components", version_added="24.02") | ||
def is_branching(G): | ||
G = _to_directed_graph(G) | ||
return is_forest(G) and int(G._in_degrees_array().max()) <= 1 | ||
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@networkx_algorithm(plc="weakly_connected_components", version_added="24.02") | ||
def is_forest(G): | ||
G = _to_graph(G) | ||
if len(G) == 0: | ||
raise nx.NetworkXPointlessConcept("G has no nodes.") | ||
if is_directed := G.is_directed(): | ||
connected_components = nxcg.weakly_connected_components | ||
else: | ||
connected_components = nxcg.connected_components | ||
for components in connected_components(G): | ||
node_ids = G._list_to_nodearray(list(components)) | ||
# TODO: create utilities for creating subgraphs | ||
mask = cp.isin(G.src_indices, node_ids) & cp.isin(G.dst_indices, node_ids) | ||
# A tree must have an edge count equal to the number of nodes minus the | ||
# tree's root node. | ||
if is_directed: | ||
if int(cp.count_nonzero(mask)) != len(components) - 1: | ||
return False | ||
else: | ||
src_indices = G.src_indices[mask] | ||
dst_indices = G.dst_indices[mask] | ||
if int(cp.count_nonzero(src_indices <= dst_indices)) != len(components) - 1: | ||
return False | ||
return True | ||
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@networkx_algorithm(plc="weakly_connected_components", version_added="24.02") | ||
def is_tree(G): | ||
G = _to_graph(G) | ||
if len(G) == 0: | ||
raise nx.NetworkXPointlessConcept("G has no nodes.") | ||
if G.is_directed(): | ||
is_connected = nxcg.is_weakly_connected | ||
else: | ||
is_connected = nxcg.is_connected | ||
# A tree must have an edge count equal to the number of nodes minus the | ||
# tree's root node. | ||
return len(G) - 1 == G.number_of_edges() and is_connected(G) |
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