chore: import upstream snapshot with attribution
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import easygraph as eg
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from easygraph.utils import *
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__all__ = [
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"k_core",
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]
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from typing import TYPE_CHECKING
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from typing import List
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from typing import Union
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if TYPE_CHECKING:
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from easygraph import Graph
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@hybrid("cpp_k_core")
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def k_core(G: "Graph") -> Union["Graph", List]:
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"""
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Returns the k-core of G.
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A k-core is a maximal subgraph that contains nodes of degree k or more.
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Parameters
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----------
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G : EasyGraph graph
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A graph or directed graph
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k : int, optional
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The order of the core. If not specified return the main core.
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return_graph : bool, optional
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If True, return the k-core as a graph. If False, return a list of nodes.
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Returns
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-------
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G : EasyGraph graph, if return_graph is True, else a list of nodes
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The k-core subgraph
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"""
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# Create a shallow copy of the input graph
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H = G.copy()
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# Initialize a dictionary to store the degrees of the nodes
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degrees = dict(G.degree())
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# Sort nodes by degree.
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nodes = sorted(degrees, key=degrees.get)
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bin_boundaries = [0]
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curr_degree = 0
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for i, v in enumerate(nodes):
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if degrees[v] > curr_degree:
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bin_boundaries.extend([i] * (degrees[v] - curr_degree))
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curr_degree = degrees[v]
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node_pos = {v: pos for pos, v in enumerate(nodes)}
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# The initial guess for the core number of a node is its degree.
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core = degrees
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nbrs = {v: list(G.neighbors(v)) for v in G}
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for v in nodes:
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for u in nbrs[v]:
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if core[u] > core[v]:
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nbrs[u].remove(v)
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pos = node_pos[u]
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bin_start = bin_boundaries[core[u]]
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node_pos[u] = bin_start
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node_pos[nodes[bin_start]] = pos
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nodes[bin_start], nodes[pos] = nodes[pos], nodes[bin_start]
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bin_boundaries[core[u]] += 1
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core[u] -= 1
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ret = [0.0 for i in range(len(G))]
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for i in range(len(ret)):
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ret[i] = core[G.index2node[i]]
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return ret
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