Labeling points with rectangles of various shapes

Shin Ichi Nakano, Takao Nishizeki, Takeshi Tokuyama, Shuhei Watanabe

Research output: Chapter in Book/Report/Conference proceedingConference contribution

8 Citations (Scopus)

Abstract

We deal with a map-labeling problem, named LOFL (Left- part Ordered Flexible Labeling), to label a set of points in a plane with polygonal obstacles. The label for each point is selected from a set of rectangles with various shapes satisfying the left-part ordered property, and is placed near to the point after scaled by a scaling factor s which is common to all points. In this paper, we give an optimal O((n+m) log(n+ m)) algorithm to decide the feasibility of LOFL for a fixed scaling factor σ, and an O((n + m) log2(n + m)) time algorithm to find the largest feasible scaling factor s, where n is the number of points and m is the number of edges of polygonal obstacles.

Original languageEnglish
Title of host publicationGraph Drawing - 8th International Symposium, GD 2000 ColonialWilliamsburg, VA, USA, September 20-23, 2000 Proceedings
EditorsJoe Marks
PublisherSpringer-Verlag
Pages91-102
Number of pages12
ISBN (Print)3540415548, 9783540415541
DOIs
Publication statusPublished - 2001 Jan 1
Event8th International Symposium on Graph Drawing, GD 2000 - Colonial Williamsburg, United States
Duration: 2000 Sep 202000 Sep 23

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume1984
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Other

Other8th International Symposium on Graph Drawing, GD 2000
CountryUnited States
CityColonial Williamsburg
Period00/9/2000/9/23

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)

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  • Cite this

    Nakano, S. I., Nishizeki, T., Tokuyama, T., & Watanabe, S. (2001). Labeling points with rectangles of various shapes. In J. Marks (Ed.), Graph Drawing - 8th International Symposium, GD 2000 ColonialWilliamsburg, VA, USA, September 20-23, 2000 Proceedings (pp. 91-102). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 1984). Springer-Verlag. https://doi.org/10.1007/3-540-44541-2_9