Concepedia

Arrangement Of Hyperplanes

An "Arrangement of Hyperplanes" is a finite collection of hyperplanes in a d-dimensional space, considered as a single geometric structure whose combinatorial and topological properties arise from the way these hyperplanes intersect and partition the space.

285

Publications

14K

Citations

317

Authors

226

Institutions

Publications per year

2017–2026

20

Variants

Hyperplane Arrangement

Parents

Publications

285

Packing Lines, Planes, etc.: Packings in Grassmannian Spaces

John H. Conway, R. H. Hardin, N. J. A. Sloane · Experimental Mathematics · 1996 · 769 citations

, , +14

Facing up to arrangements: face-count formulas for partitions of space by hyperplanes

Thomas Zasĺavsky · Memoirs of the American Mathematical Society · 1975 · 637 citations

, , +6

Constructing Arrangements of Lines and Hyperplanes with Applications

Herbert Edelsbrunner, Joseph O’Rourke, Raimund Seidel · SIAM Journal on Computing · 1986 · 446 citations

, , +17

Wonderful models of subspace arrangements

Corrado De Concini, Claudio Procesi · Selecta Mathematica · 1995 · 326 citations

, , +8

A deterministic view of random sampling and its use in geometry

Bernard Chazelle, Joel Friedman · COMBINATORICA · 1990 · 258 citations

, , +17

1–5 of 285

Authors

317

  1. HT
    Hiroaki Terao

    University of Wisconsin–Madison, United States

    10 publications · 718 citations

    10

    h-index

  2. CA
    Christos A. Athanasiadis

    National and Kapodistrian University of Athens, Greece

    7 publications · 246 citations

    7

    h-index

  3. DC
    Daniel C. Cohen

    Louisiana State University, United States

    6 publications · 374 citations

    6

    h-index

  4. PH
    Paul H. Edelman

    University of Minnesota, United States

    6 publications · 293 citations

    6

    h-index

  5. TA
    Takuro Abe

    Kyushu University, Japan

    5 publications · 120 citations

    5

    h-index

1–5 of 317

Institutions

226

  1. New York University

    New York, United States

    10 h-index

    12 publications

    572 citations

  2. Massachusetts Institute of Technology

    Cambridge, United States

    10 h-index

    13 publications

    757 citations

  3. Courant Institute of Mathematical Sciences

    New York, United States

    9 h-index

    10 publications

    417 citations

  4. Centre National de la Recherche Scientifique

    Paris, France

    9 h-index

    11 publications

    305 citations

  5. University of Minnesota

    Minneapolis, United States

    7 h-index

    8 publications

    329 citations

  6. Kyoto University

    Kyoto, Japan

    7 h-index

    7 publications

    352 citations

  7. University of Michigan

    Ann Arbor, United States

    6 h-index

    7 publications

    323 citations

  8. Ghent University

    Ghent, Belgium

    5 h-index

    6 publications

    75 citations

1–8 of 226

Venues

  1. Journal of Combinatorial Theory Series A

    13 publications · 665 citations

    13

    h-index

  2. Transactions of the American Mathematical Society

    TRAN · 12 publications · 550 citations

    12

    h-index

  3. Discrete & Computational Geometry

    10 publications · 414 citations

    10

    h-index

  4. Advances in Mathematics

    9 publications · 484 citations

    9

    h-index

  5. Proceedings of the American Mathematical Society

    PROC · 8 publications · 269 citations

    8

    h-index

1–5