Nearly ETH-Tight Algorithms for Planar Steiner Tree with Terminals on Few Faces
Sándor Kisfaludi-Bak; Jesper Nederlof; Erik Jan van Leeuwen · 2018 · arXiv
WASTE classifies this as Failed Experiment Report · AI classification, approximate
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Abstract (excerpt)
The Planar Steiner Tree problem is one of the most fundamental NP-complete problems as it models many network design problems. Recall that an instance of this problem consists of a graph with edge weights, and a subset of vertices (often called terminals); the goal is to find a subtree of the graph of minimum total weight that connects all terminals. A seminal paper by Erickson et al. [Math. Oper. Res., 1987] considers instances where the underlying graph is planar and all terminals can be covered by the boundary of $k$ faces. Erickson et al. show that the problem can be solved by an algorithm
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Metadata source: arXiv