rm CondaPkg environment
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@@ -8,7 +8,7 @@ structure, dynamics, and functions of complex networks.
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See https://networkx.org for complete documentation.
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"""
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__version__ = "3.0"
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__version__ = "3.1"
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# These are imported in order as listed
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@@ -1,12 +1,12 @@
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"""Approximations of graph properties and Heuristic methods for optimization.
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.. warning:: These functions are not imported in the top-level of ``networkx``
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The functions in this class are not imported into the top-level ``networkx``
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namespace so the easiest way to use them is with::
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These functions can be accessed using
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``networkx.approximation.function_name``
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>>> from networkx.algorithms import approximation
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They can be imported using ``from networkx.algorithms import approximation``
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or ``from networkx.algorithms.approximation import function_name``
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Another option is to import the specific function with
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``from networkx.algorithms.approximation import function_name``.
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"""
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from networkx.algorithms.approximation.clustering_coefficient import *
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@@ -387,7 +387,7 @@ def _bidirectional_pred_succ(G, source, target, exclude):
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# thus source and target will only trigger "found path" when they are
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# adjacent and then they can be safely included in the container 'exclude'
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level += 1
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if not level % 2 == 0:
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if level % 2 != 0:
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this_level = forward_fringe
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forward_fringe = []
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for v in this_level:
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@@ -212,7 +212,7 @@ class _AntiGraph(nx.Graph):
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def single_edge_dict(self):
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return self.all_edge_dict
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edge_attr_dict_factory = single_edge_dict # type: ignore
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edge_attr_dict_factory = single_edge_dict # type: ignore[assignment]
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def __getitem__(self, n):
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"""Returns a dict of neighbors of node n in the dense graph.
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@@ -134,21 +134,21 @@ def steiner_tree(G, terminal_nodes, weight="weight", method=None):
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The approximation algorithm is specified with the `method` keyword
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argument. All three available algorithms produce a tree whose weight is
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within a (2 - (2 / l)) factor of the weight of the optimal Steiner tree,
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where *l* is the minimum number of leaf nodes across all possible Steiner
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within a ``(2 - (2 / l))`` factor of the weight of the optimal Steiner tree,
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where ``l`` is the minimum number of leaf nodes across all possible Steiner
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trees.
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* `kou` [2]_ (runtime $O(|S| |V|^2)$) computes the minimum spanning tree of
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the subgraph of the metric closure of *G* induced by the terminal nodes,
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where the metric closure of *G* is the complete graph in which each edge is
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weighted by the shortest path distance between the nodes in *G*.
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* ``"kou"`` [2]_ (runtime $O(|S| |V|^2)$) computes the minimum spanning tree of
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the subgraph of the metric closure of *G* induced by the terminal nodes,
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where the metric closure of *G* is the complete graph in which each edge is
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weighted by the shortest path distance between the nodes in *G*.
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* `mehlhorn` [3]_ (runtime $O(|E|+|V|\log|V|)$) modifies Kou et al.'s
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algorithm, beginning by finding the closest terminal node for each
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non-terminal. This data is used to create a complete graph containing only
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the terminal nodes, in which edge is weighted with the shortest path
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distance between them. The algorithm then proceeds in the same way as Kou
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et al..
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* ``"mehlhorn"`` [3]_ (runtime $O(|E|+|V|\log|V|)$) modifies Kou et al.'s
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algorithm, beginning by finding the closest terminal node for each
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non-terminal. This data is used to create a complete graph containing only
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the terminal nodes, in which edge is weighted with the shortest path
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distance between them. The algorithm then proceeds in the same way as Kou
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et al..
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Parameters
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----------
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@@ -36,7 +36,7 @@ def test_random_partitioning_all_to_one():
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def test_one_exchange_basic():
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G = nx.complete_graph(5)
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random.seed(5)
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for (u, v, w) in G.edges(data=True):
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for u, v, w in G.edges(data=True):
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w["weight"] = random.randrange(-100, 100, 1) / 10
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initial_cut = set(random.sample(sorted(G.nodes()), k=5))
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@@ -68,7 +68,7 @@ def test_one_exchange_optimal():
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def test_negative_weights():
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G = nx.complete_graph(5)
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random.seed(5)
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for (u, v, w) in G.edges(data=True):
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for u, v, w in G.edges(data=True):
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w["weight"] = -1 * random.random()
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initial_cut = set(random.sample(sorted(G.nodes()), k=5))
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@@ -12,7 +12,7 @@ pairwise = nx.utils.pairwise
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def test_christofides_hamiltonian():
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random.seed(42)
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G = nx.complete_graph(20)
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for (u, v) in G.edges():
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for u, v in G.edges():
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G[u][v]["weight"] = random.randint(0, 10)
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H = nx.Graph()
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@@ -22,7 +22,7 @@ def is_tree_decomp(graph, decomp):
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assert appear_once
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# Check if each connected pair of nodes are at least once together in a bag
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for (x, y) in graph.edges():
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for x, y in graph.edges():
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appear_together = False
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for bag in decomp.nodes():
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if x in bag and y in bag:
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@@ -530,7 +530,7 @@ def held_karp_ascent(G, weight="weight"):
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pp.1138-1162
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"""
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import numpy as np
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import scipy.optimize as optimize
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from scipy import optimize
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def k_pi():
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"""
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@@ -785,7 +785,7 @@ def held_karp_ascent(G, weight="weight"):
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# reference [1]
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z_star = {}
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scale_factor = (G.order() - 1) / G.order()
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for u, v in x_star.keys():
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for u, v in x_star:
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frequency = x_star[(u, v)] + x_star[(v, u)]
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if frequency > 0:
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z_star[(u, v)] = scale_factor * frequency
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