Concepedia

Line Segment Arrangements

Line Segment Arrangements is a geometric arrangement formed by a finite set of line segments in the plane, distinguished from other arrangements by the inclusion of partial linear elements rather than infinite lines or rays, thereby inducing a subdivision of the plane into vertices, edges, and faces based on their intersections and endpoints.

82

Publications

2.9K

Citations

148

Authors

119

Institutions

Publications per year

2017–2026

6

Parents

Publications

82

The Geometry of Musical Chords

Dmitri Tymoczko · Science · 2006 · 289 citations

, , +10

Oriented objects as pairs of middle lines

Haoran Wei, Yue Zhang, Zhonghan Chang et al. · ISPRS Journal of Photogrammetry and Remote Sensing · 2020 · 259 citations

, , +4

Measurement of Length in Random Arrangements of Lines

Bradley Marsh · Journal of Applied Ecology · 1971 · 247 citations

, , +11

Algorithms for bichromatic line-segment problems and polyhedral terrains

Bernard Chazelle, Herbert Edelsbrunner, Leonidas Guibas et al. · Algorithmica · 1994 · 102 citations

, , +8

Stable maintenance of point set triangulations in two dimensions

Steven Fortune · 1989 · 84 citations

, , +11

1–5 of 82

Authors

148

  1. MS
    Micha Sharir

    Tel Aviv University, Israel

    7 publications · 296 citations

    7

    h-index

  2. LG
    Leonidas Guibas

    Stanford University, United States

    6 publications · 277 citations

    6

    h-index

  3. HE
    Herbert Edelsbrunner

    University of Illinois Urbana-Champaign, United States

    5 publications · 247 citations

    5

    h-index

  4. MT
    Mina Teicher

    Bar-Ilan University, Israel

    3 publications · 73 citations

    3

    h-index

  5. SN
    Shaheen Nazir

    Government College University, Lahore, Pakistan

    2 publications · 40 citations

    2

    h-index

1–5 of 148

Institutions

119

  1. New York University

    New York, United States

    10 h-index

    12 publications

    455 citations

  2. Courant Institute of Mathematical Sciences

    New York, United States

    7 h-index

    8 publications

    317 citations

  3. Stanford University

    Stanford, United States

    6 h-index

    7 publications

    357 citations

  4. Tel Aviv University

    Tel Aviv, Israel

    5 h-index

    5 publications

    231 citations

  5. Freie Universität Berlin

    Berlin, Germany

    5 h-index

    6 publications

    156 citations

  6. University of Illinois Urbana-Champaign

    Urbana, United States

    4 h-index

    4 publications

    230 citations

  7. Institute for Advanced Study

    Princeton, United States

    2 h-index

    2 publications

    303 citations

  8. Sorbonne Université

    Paris, France

    2 h-index

    2 publications

    20 citations

1–8 of 119

Venues

  1. Discrete & Computational Geometry

    6 publications · 213 citations

    6

    h-index

  2. Proceedings of the American Mathematical Society

    PROC · 4 publications · 76 citations

    4

    h-index

  3. Pacific Journal of Mathematics

    3 publications · 76 citations

    3

    h-index

  4. 3

    h-index

  5. Journal of Combinatorial Theory Series A

    3 publications · 82 citations

    3

    h-index

1–5