Concepedia

Oriented Matroids

Oriented Matroids is a mathematical framework in combinatorial geometry that extends the notion of matroids by incorporating chirotopes or signed circuits to encode the orientation of dependencies, thereby capturing the combinatorial structure of arrangements of vectors, hyperplanes, and convex polytopes with directional information.

112

Publications

3.7K

Citations

143

Authors

112

Institutions

Publications per year

2017–2026

8

Parents

Publications

112

The algebra of oriented simplexes

Ross Street · Journal of Pure and Applied Algebra · 1987 · 324 citations

, , +5

Random walks and hyperplane arrangements

Kenneth S. Brown, Persi Diaconis · The Annals of Probability · 1998 · 161 citations · Full text

, , +15

Laurent Determinants and Arrangements of Hyperplane Amoebas

Mikael Forsberg, Mikael Passare, August Tsikh · Advances in Mathematics · 2000 · 158 citations

, , +8

Convexity in oriented matroids

Michel Las Vergnas · Journal of Combinatorial Theory Series B · 1980 · 157 citations

, , +8

Higher bruhat orders and cyclic hyperplane arrangements

Günter M. Ziegler · Topology · 1993 · 114 citations

, , +9

1–5 of 112

Authors

143

  1. BS
    Bernd Sturmfels

    University of California, Berkeley, United States

    10 publications · 339 citations

    10

    h-index

  2. ML
    Michel Las Vergnas

    Sorbonne Université, France

    6 publications · 239 citations

    6

    h-index

  3. KF
    Komei Fukuda

    University of Tsukuba, Japan

    6 publications · 168 citations

    6

    h-index

  4. JR
    Jürgen Richter-Gebert

    Technical University of Munich, Germany

    4 publications · 72 citations

    4

    h-index

  5. RC
    Rita Cordovil

    University of Lisbon, Portugal

    4 publications · 61 citations

    4

    h-index

1–5 of 143

Institutions

112

  1. Sorbonne Université

    Paris, France

    8 h-index

    8 publications

    312 citations

  2. Cornell University

    Ithaca, United States

    7 h-index

    10 publications

    623 citations

  3. Centre National de la Recherche Scientifique

    Paris, France

    6 h-index

    7 publications

    114 citations

  4. Technische Universität Darmstadt

    Darmstadt, Germany

    5 h-index

    8 publications

    175 citations

  5. ETH Zurich

    Zurich, Switzerland

    4 h-index

    5 publications

    117 citations

  6. University of Minnesota

    Minneapolis, United States

    3 h-index

    3 publications

    68 citations

  7. Johannes Kepler University of Linz

    Linz, Austria

    3 h-index

    3 publications

    76 citations

  8. Massachusetts Institute of Technology

    Cambridge, United States

    3 h-index

    7 publications

    274 citations

1–8 of 112

Venues

  1. Discrete & Computational Geometry

    18 publications · 467 citations

    13

    h-index

  2. European Journal of Combinatorics

    14 publications · 271 citations

    12

    h-index

  3. Journal of Combinatorial Theory Series B

    11 publications · 365 citations

    10

    h-index

  4. Discrete Mathematics

    9 publications · 185 citations

    9

    h-index

  5. Advances in Mathematics

    5 publications · 250 citations

    5

    h-index

1–5