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Jul 10 – 14, 2023
Heinz Nixdorf MuseumsForum (HNF)
Europe/Berlin timezone

An $O(\log k)$-Approximation for Directed Steiner Tree in Planar Graphs

Jul 12, 2023, 11:45 AM
20m

Speaker

Ramin Mousavi

Description

Zachary Friggstad and Ramin Mousavi

Abstract: We present an $O(\log k)$-approximation for both the edge-weighted and node-weighted versions of \DST in planar graphs where $k$ is the number of terminals. We extend our approach to \MDST\footnote{In general graphs \MDST and \DST are easily seen to be equivalent but in planar graphs this is not the case necessarily.}, in which we get a $O(R+\log k)$-approximation for planar graphs for where $R$ is the number of roots.

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