Concepedia

Tverberg's Theorem

Tverberg's Theorem is a fundamental result in topological combinatorics that asserts any set of at least $(d+1)(r-1)+1$ points in $\mathbb{R}^d$ can be partitioned into $r$ disjoint subsets whose convex hulls have nonempty intersection, thereby generalizing Radon's Theorem and establishing a cornerstone in the study of intersection patterns of convex sets.

44

Publications

1.7K

Citations

45

Authors

44

Institutions

Publications per year

2017–2026

6

Parents

Publications

44

On a Topological Generalization of a Theorem of Tverberg

Imre Bárány, Senya Shlosman, A. Szűcs · Journal of the London Mathematical Society · 1981 · 166 citations · Full text

, , +9

The colored Tverberg's problem and complexes of injective functions

Rade T. Živaljević, Siniša T. Vrećica · Journal of Combinatorial Theory Series A · 1992 · 150 citations

, , +8

Partition numbers for trees and ordered sets

Robert E. Jamison · Pacific Journal of Mathematics · 1981 · 108 citations · Full text

, , +8

Multiarrangements of hyperplanes and their freeness

Günter M. Ziegler · Contemporary mathematics - American Mathematical Society · 1989 · 102 citations

, , +11

On a topological generalization of the Tverberg theorem

A Yu Volovikov · Mathematical Notes · 1996 · 92 citations

, , +10

1–5 of 44

Authors

45

  1. GM
    Günter M. Ziegler

    Technische Universität Berlin, Germany

    8 publications · 318 citations

    7

    h-index

  2. PS
    Pablo Soberón

    Northeastern University, United States

    5 publications · 90 citations

    5

    h-index

  3. UW
    Uli Wagner

    ETH Zurich, Switzerland

    4 publications · 88 citations

    4

    h-index

  4. PV
    Pavle V. M. Blagojević

    Freie Universität Berlin, Germany

    5 publications · 182 citations

    4

    h-index

  5. IB
    Imre Bárány

    Hungarian Academy of Sciences, Hungary

    3 publications · 280 citations

    3

    h-index

1–5 of 45

Institutions

44

  1. Freie Universität Berlin

    Berlin, Germany

    7 h-index

    12 publications

    342 citations

  2. Technische Universität Berlin

    Berlin, Germany

    5 h-index

    6 publications

    173 citations

  3. University College London

    London, United Kingdom

    3 h-index

    5 publications

    212 citations

  4. University of Illinois Chicago

    Chicago, United States

    2 h-index

    2 publications

    30 citations

  5. Hungarian Academy of Sciences

    Budapest, Hungary

    2 h-index

    2 publications

    243 citations

  6. Serbian Academy of Sciences and Arts

    Belgrade, Serbia

    2 h-index

    4 publications

    131 citations

  7. Western Washington University

    Bellingham, United States

    2 h-index

    2 publications

    47 citations

  8. Northeastern University

    Boston, United States

    2 h-index

    2 publications

    26 citations

1–8 of 44

Venues

  1. Discrete & Computational Geometry

    6 publications · 105 citations

    6

    h-index

  2. arXiv (Cornell University)

    Repository · 4 publications · 102 citations

    4

    h-index

  3. European Journal of Combinatorics

    3 publications · 61 citations

    3

    h-index

  4. Israel Journal of Mathematics

    3 publications · 118 citations

    3

    h-index

  5. Pacific Journal of Mathematics

    2 publications · 155 citations

    2

    h-index

1–5