An O ( n log n ) approximation scheme for Steiner tree in planar graphs

Author:

Borradaile Glencora1,Klein Philip1,Mathieu Claire1

Affiliation:

1. Brown University, Providence, RI

Abstract

We give a Polynomial-Time Approximation Scheme (PTAS) for the Steiner tree problem in planar graphs. The running time is O ( n log n ).

Funder

Division of Computing and Communication Foundations

Publisher

Association for Computing Machinery (ACM)

Subject

Mathematics (miscellaneous)

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1. The Complexity Landscape of Fixed-Parameter Directed Steiner Network Problems;ACM Transactions on Computation Theory;2023-12-12

2. An Incremental Algorithm for (2-ε)-Approximate Steiner Tree Requiring O(n) Update Time;2023 Eleventh International Symposium on Computing and Networking (CANDAR);2023-11-28

3. Planar Disjoint Paths, Treewidth, and Kernels;2023 IEEE 64th Annual Symposium on Foundations of Computer Science (FOCS);2023-11-06

4. Correlation Clustering and Two-Edge-Connected Augmentation for Planar Graphs;Algorithmica;2023-05-05

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