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从图的集合中拒绝同构

我有一个15M(百万)DAG(有向无环图 - 实际上是指向超立方体)的集合,我想从中删除同构.这个的常见算法是什么?每个图都相当小,一个维数为N的混合立方体,其中N为3到6(现在),得到64个节点的图,每个节点为N = 6的情况.

使用networkx和python,我实现了它,这适用于300k(千)的小集合就好(几天后运行).

def isIsomorphicDuplicate(hcL, hc):
    """checks if hc is an isomorphism of any of the hc's in hcL
    Returns True if hcL contains an isomorphism of hc
    Returns False if it is not found"""
    #for each cube in hcL, check if hc could be isomorphic
    #if it could be isomorphic, then check if it is
    #if it is isomorphic, then return True
    #if all comparisons have been made already, then it is not an isomorphism and …
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graph isomorphism canonicalization

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canonicalization ×1

graph ×1

isomorphism ×1