从python中的元组或集合列表中找到不相交集合的集合 [英] Find sets of disjoint sets from a list of tuples or sets in python

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问题描述

这是问题所在:我有一个元组列表(也可以根据需要设置).例如:

here is the problem: I have a list of tuples (could be sets as well if needed). For instance:

a = [(1, 5), (4, 2), (4, 3), (5, 4), (6, 3), (7, 6)]

我要查找的是列表

r = [(1, 5, 4, 2, 3, 6, 7)]

因为一旦将所有集合放在一起,交点就不为空.

because the intersection is not empty once all the sets are put together.

例如

a = [(1, 5), (4, 2), (4, 3), (5, 4), (6, 3), (7, 6), (8, 9)]

结果应该是

r = [(1, 5, 4, 2, 3, 6, 7), (8, 9)]

希望问题很明显.那么,如果有的话,在python中最优雅的方法是什么?

Hope the problem is clear. So what is the most elegant way to do this in python, if any?

欢呼声

推荐答案

这些是图形的连接组件,可以使用诸如

These are the connected components of a graph, and can be found using a graphing library such as networkx. For your second example:

>>> edges = [(1, 5), (4, 2), (4, 3), (5, 4), (6, 3), (7, 6), (8, 9)]
>>> graph = nx.Graph(edges) 
>>> [tuple(c) for c in nx.connected_components(graph)]
[(1, 2, 3, 4, 5, 6, 7), (8, 9)]

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