本文介绍了在图或树中寻找冗余边的算法的处理方法,对大家解决问题具有一定的参考价值,需要的朋友们下面随着小编来一起学习吧!

问题描述

是否有一个既定的算法来查找图中的冗余边?

Is there an established algorithm for finding redundant edges in a graph?

比如我想找出 a->d 和 a->e 是多余的,然后去掉它们,像这样:

For example, I'd like to find that a->d and a->e are redundant, and then get rid of them, like this:

=>

Strilanc 很好,可以帮我读懂我的想法.冗余"这个词太强了,因为在上面的例子中,a->b 或 a->c 都不被认为是冗余的,而 a->d 是.

Strilanc was nice enough to read my mind for me. "Redundant" was too strong of a word, since in the example above, neither a->b or a->c is considered redundant, but a->d is.

推荐答案

您想计算保持顶点可达性的最小图.

You want to compute the smallest graph which maintains vertex reachability.

这称为图的传递归约.维基百科文章应该会让你走上正确的道路.

This is called the transitive reduction of a graph. The wikipedia article should get you started down the right road.

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06-15 17:31