N 个点分成两排对这 N 个点进行排序让他们的交点最少 - V2EX

N 个点分成两排对这 N 个点进行排序让他们的交点最少 - V2EX

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这是一个创建于 881 天前的主题，其中的信息可能已经有所发展或是发生改变。

上图交点数是 3, 但是我们可以打乱 A1 A2 ... Am B1 B2 ... Bn 的顺序让他们的交点数变化.

求算法. 或者关键字.

穷举的话 m! * n! 数量有点大啊...

谢谢大佬.

2 条回复 2023-07-06 21:48:38 +08:00

1

xupefei

2023-07-06 18:27:51 +08:00 via iPhone

1

我拍脑袋想了一下，似乎把 incoming 和 outgoing 最少的节点排左边就是最优解？

2

onlytmp

2023-07-06 21:48:38 +08:00

求图的连通分量吧，连通分量之间分开摆放就不会有交点，连通分量内部尽量展开摆放以减少交点

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