Concepedia

Discrete Geometry

Discrete Geometry is a branch of mathematics that studies geometric objects and configurations using discrete structures and combinatorial methods, focusing on properties invariant under finite or countable sets of points, polygons, polyhedra, and their arrangements, in contrast to continuous or differential approaches in geometry.

1.6K

Publications

82.2K

Citations

2.2K

Authors

903

Institutions

Publications per year

2017–2026

122

Variants

Combinatorial Geometry

Parents

Children

Publications

1.6K

Random Sets and Integral Geometry.

B. D. Ripley, G. Matheron · Journal of the Royal Statistical Society Series A (General) · 1976 · 3.1K citations

, , +12

Algorithms in Combinatorial Geometry.

Jacob E. Goodman, Herbert Edelsbrunner · American Mathematical Monthly · 1989 · 1.8K citations

, , +3

Maximum matching and a polyhedron with 0,1-vertices

Jack Edmonds · Journal of Research of the National Bureau of Standards Section B Mathematics and Mathematical Physics · 1965 · 1.7K citations · Full text

, , +8

Computational geometry: Algorithms and applications

Computers & Mathematics with Applications · 1998 · 1.5K citations

, , +12

Shape Manifolds, Procrustean Metrics, and Complex Projective Spaces

David G. Kendall · Bulletin of the London Mathematical Society · 1984 · 1.5K citations

, , +13

1–5 of 1.6K

Authors

2.2K

  1. HE
    Herbert Edelsbrunner

    University of Illinois Urbana-Champaign, United States

    15 publications · 860 citations

    14

    h-index

  2. MS
    Micha Sharir

    Tel Aviv University, Israel

    13 publications · 592 citations

    12

    h-index

  3. AI
    Alexander I. Bobenko

    Technische Universität Berlin, Germany

    13 publications · 893 citations

    12

    h-index

  4. MW
    Max Wardetzky

    Columbia University, United States

    8 publications · 595 citations

    8

    h-index

  5. JA
    J. A. Thas

    Ghent University, Belgium

    7 publications · 162 citations

    7

    h-index

1–5 of 2.2K

Institutions

903

  1. Centre National de la Recherche Scientifique

    Paris, France

    21 h-index

    65 publications

    2K citations

  2. Technische Universität Berlin

    Berlin, Germany

    19 h-index

    46 publications

    2.5K citations

  3. University of Illinois Urbana-Champaign

    Urbana, United States

    19 h-index

    36 publications

    3.8K citations

  4. Hungarian Academy of Sciences

    Budapest, Hungary

    17 h-index

    26 publications

    1.7K citations

  5. New York University

    New York, United States

    16 h-index

    24 publications

    1.3K citations

  6. Tel Aviv University

    Tel Aviv, Israel

    16 h-index

    24 publications

    1.1K citations

  7. Princeton University

    Princeton, United States

    15 h-index

    29 publications

    1.8K citations

  8. Massachusetts Institute of Technology

    Cambridge, United States

    14 h-index

    22 publications

    756 citations

1–8 of 903

Venues

  1. Discrete & Computational Geometry

    41 publications · 1.8K citations

    21

    h-index

  2. Advances in Mathematics

    22 publications · 1.5K citations

    18

    h-index

  3. arXiv (Cornell University)

    Repository · 43 publications · 1.4K citations

    18

    h-index

  4. ArXiv.org

    Repository · 36 publications · 992 citations

    17

    h-index

  5. Discrete Mathematics

    32 publications · 1.4K citations

    17

    h-index

1–5