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

Fuente: arXiv
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Main Authors: Johnson, Matthew, Martin, Barnaby, Smith, Siani, Pandey, Sukanya, Paulusma, Daniel, van Leeuwen, Erik Jan
Format: Preprint
Published: 2022
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author Johnson, Matthew
Martin, Barnaby
Smith, Siani
Pandey, Sukanya
Paulusma, Daniel
van Leeuwen, Erik Jan
author_facet Johnson, Matthew
Martin, Barnaby
Smith, Siani
Pandey, Sukanya
Paulusma, Daniel
van Leeuwen, Erik Jan
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2211_12203
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Edge Multiway Cut and Node Multiway Cut are NP-complete on subcubic graphs
Johnson, Matthew
Martin, Barnaby
Smith, Siani
Pandey, Sukanya
Paulusma, Daniel
van Leeuwen, Erik Jan
Computational Complexity
Discrete Mathematics
Data Structures and Algorithms
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.
title Edge Multiway Cut and Node Multiway Cut are NP-complete on subcubic graphs
topic Computational Complexity
Discrete Mathematics
Data Structures and Algorithms
url https://arxiv.org/abs/2211.12203