论文标题

边缘多路切割和节点多路切割在亚立管图上是NP完整的

Edge Multiway Cut and Node Multiway Cut are NP-complete on subcubic graphs

论文作者

Johnson, Matthew, Martin, Barnaby, Smith, Siani, Pandey, Sukanya, Paulusma, Daniel, van Leeuwen, Erik Jan

论文摘要

我们表明,边缘多路切割(也称为多通用切割),节点多路路切割在最高度$ 3 $的图表上是NP完整的(也称为亚采比图)。这在先前的学位上有所改善,$ 11 $。我们的NP完整性结果即使对于平面的亚地铁图也成立。

We show that Edge Multiway Cut (also called Multiterminal Cut) and Node Multiway Cut are NP-complete on graphs of maximum degree $3$ (also known as subcubic graphs). This improves on a previous degree bound of $11$. Our NP-completeness result holds even for subcubic graphs that are planar.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源