Abstract | ||
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Given an undirected graph with edge lengths and a subset of nodes (called the terminals), the multiway cut (also called the multi-terminal cut) problem asks for a subset of edges, with minimum total length, whose removal disconnects each terminal from all others. The problem generalizes minimum s-t cut, but is NP-hard for planar graphs and APX-hard for general graphs [11]. In this paper, we present a PTAS for multiway cut on planar graphs. |
Year | DOI | Venue |
---|---|---|
2012 | 10.5555/2095116.2095170 | SODA |
Keywords | Field | DocType |
general graph,edge length,planar multiway cut,polynomial-time approximation scheme,planar graph,undirected graph,multi-terminal cut,minimum s-t cut,multiway cut,minimum total length | Cut,Discrete mathematics,Graph,Combinatorics,Minimum cut,Planar,Gomory–Hu tree,Polynomial-time approximation scheme,Planar graph,Mathematics,Maximum cut | Conference |
ISBN | Citations | PageRank |
978-1-61197-251-1 | 9 | 0.51 |
References | Authors | |
27 | 4 |
Name | Order | Citations | PageRank |
---|---|---|---|
MohammadHossein Bateni | 1 | 286 | 21.45 |
MohammadTaghi Hajiaghayi | 2 | 3082 | 201.38 |
Philip N. Klein | 3 | 2681 | 256.19 |
Claire Mathieu | 4 | 452 | 25.78 |