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          <dc:title>A 10-Approximation of the π/2-MST</dc:title>
          <dc:creator>Biniaz, Ahmad</dc:creator>
          <dc:creator>Daliri, Majid</dc:creator>
          <dc:creator>Moradpour, Amir Hossein</dc:creator>
          <dc:subject>Euclidean spanning trees</dc:subject>
          <dc:subject>approximation algorithms</dc:subject>
          <dc:subject>bounded-angle visibility</dc:subject>
          <dc:description>Bounded-angle spanning trees of points in the plane have received considerable attention in the context of wireless networks with directional antennas. For a point set P in the plane and an angle α, an α-spanning tree (α-ST) is a spanning tree of the complete Euclidean graph on P with the property that all edges incident to each point p ∈ P lie in a wedge of angle α centered at p. The α-minimum spanning tree (α-MST) problem asks for an α-ST of minimum total edge length. The seminal work of Anscher and Katz (ICALP 2014) shows the NP-hardness of the α-MST problem for α = 2π/3, π and presents approximation algorithms for α = π/2, 2π/3, π.&#13;
In this paper we study the α-MST problem for α = π/2 which is also known to be NP-hard. We present a 10-approximation algorithm for this problem. This improves the previous best known approximation ratio of 16.</dc:description>
          <dc:publisher>Schloss Dagstuhl – Leibniz-Zentrum für Informatik</dc:publisher>
          <dc:contributor>Ahmad Biniaz and Majid Daliri and Amir Hossein Moradpour</dc:contributor>
          <dc:date>2022</dc:date>
          <dc:relation>Is Part Of LIPIcs, Volume 219, 39th International Symposium on Theoretical Aspects of Computer Science (STACS 2022)</dc:relation>
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          <dc:identifier>doi:10.4230/LIPIcs.STACS.2022.13</dc:identifier>
          <dc:identifier>urn:nbn:de:0030-drops-158232</dc:identifier>
          <dc:identifier>https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.STACS.2022.13</dc:identifier>
          <dc:language>eng</dc:language>
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