1 Search Results for "Moradpour, Amir Hossein"

Document

DOI: 10.4230/LIPIcs.STACS.2022.13

A 10-Approximation of the π/2-MST

Authors: Ahmad Biniaz, Majid Daliri, and Amir Hossein Moradpour

Published in: LIPIcs, Volume 219, 39th International Symposium on Theoretical Aspects of Computer Science (STACS 2022)

Abstract

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. 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.

Cite as

Ahmad Biniaz, Majid Daliri, and Amir Hossein Moradpour. A 10-Approximation of the π/2-MST. In 39th International Symposium on Theoretical Aspects of Computer Science (STACS 2022). Leibniz International Proceedings in Informatics (LIPIcs), Volume 219, pp. 13:1-13:15, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2022)

Copy BibTex To Clipboard

@InProceedings{biniaz_et_al:LIPIcs.STACS.2022.13,
  author =	{Biniaz, Ahmad and Daliri, Majid and Moradpour, Amir Hossein},
  title =	{{A 10-Approximation of the \pi/2-MST}},
  booktitle =	{39th International Symposium on Theoretical Aspects of Computer Science (STACS 2022)},
  pages =	{13:1--13:15},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-222-8},
  ISSN =	{1868-8969},
  year =	{2022},
  volume =	{219},
  editor =	{Berenbrink, Petra and Monmege, Benjamin},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.STACS.2022.13},
  URN =		{urn:nbn:de:0030-drops-158232},
  doi =		{10.4230/LIPIcs.STACS.2022.13},
  annote =	{Keywords: Euclidean spanning trees, approximation algorithms, bounded-angle visibility}
}

Refine by Author
1 Biniaz, Ahmad
1 Daliri, Majid
1 Moradpour, Amir Hossein

Refine by Classification
1 Theory of computation → Approximation algorithms analysis
1 Theory of computation → Computational geometry

Refine by Keyword
1 Euclidean spanning trees
1 approximation algorithms
1 bounded-angle visibility

Refine by Type
1 document

Refine by Publication Year
1 2022

1 Search Results for "Moradpour, Amir Hossein"

A 10-Approximation of the π/2-MST

Abstract

Cite as

Thanks for your feedback!

Could not send message