New Approximation Algorithms for Map Labeling with Sliding Labels

Binhai Zhu () and Z.P. Qin ()
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Binhai Zhu: Montana State University
Z.P. Qin: Huazhong University of Science and Technology

Journal of Combinatorial Optimization, 2002, vol. 6, issue 1, No 7, 99-110

Abstract: Abstract In this paper we present approximation algorithm for the following NP-hard map labeling problem: Given a set S of n distinct sites in the plane, one needs to place at each site a uniform square of maximum possible size such that all the squares are along the same direction. This generalizes the classical problem of labeling points with axis-parallel squares and restricts the most general version where the squares can have different orientations. We obtain factor-4 and factor- $$5\sqrt 2 $$ approximation algorithms for this problem. These algorithms also work for two generalized versions of the problem. We also revisit the problem of labeling each point with maximum uniform axis-parallel square pairs and improve the previous approximation factor of 4 to 3.

Keywords: approximation algorithms; map labeling; NP-hardness (search for similar items in EconPapers)
Date: 2002
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Citations: View citations in EconPapers (1)

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DOI: 10.1023/A:1013326409918

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