从python中的元组或集合列表中查找不相交的集合

Find sets of disjoint sets from a list of tuples or sets in python(从python中的元组或集合列表中查找不相交的集合)

问题描述

这是问题所在:我有一个元组列表(如果需要也可以设置).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)]

我要找的是一个列表

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

因为一旦所有集合放在一起，交集就不是空的.

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

举个例子

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)]

希望问题很清楚.那么在 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?

干杯

推荐答案

这些是图的连接组件，可以使用 networkx.对于您的第二个示例:

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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