Concepedia

Hadwiger's Theorem

Hadwiger's Theorem is a fundamental result in integral geometry that characterizes the space of continuous, rigid-motion-invariant, finitely additive valuations on convex bodies in Euclidean space as being spanned by the intrinsic volumes.

59

Publications

3K

Citations

90

Authors

64

Institutions

Publications per year

2017–2026

7

Parents

Publications

59

Introduction to geometric probability

Choice Reviews Online · 1998 · 481 citations

, , +11

Lower bound of the hadwiger number of graphs by their average degree

Alexandr Kostochka · COMBINATORICA · 1984 · 313 citations

, , +8

Continuous Rotation Invariant Valuations on Convex Sets

Semyon Alesker · Annals of Mathematics · 1999 · 186 citations

, , +10

Piercing convex sets and the Hadwiger-Debrunner (p, q)-problem

Noga Alon, Daniel J. Kleitman · Advances in Mathematics · 1992 · 167 citations

, , +7

A short proof of Hadwiger's characterization theorem

Daniel A. Klain · Mathematika · 1995 · 157 citations

, , +13

1–5 of 59

Authors

90

  1. KK
    Ken‐ichi Kawarabayashi

    National Institute of Informatics, Japan

    5 publications · 122 citations

    5

    h-index

  2. DR
    David R. Wood

    Carleton University, Canada

    3 publications · 50 citations

    3

    h-index

  3. ZS
    Zi‐Xia Song

    University of Central Florida, United States

    3 publications · 46 citations

    3

    h-index

  4. ML
    Monika Ludwig

    TU Wien, Austria

    3 publications · 170 citations

    3

    h-index

  5. PS
    Paul Seymour

    Princeton University, United States

    2 publications · 117 citations

    2

    h-index

1–5 of 90

Institutions

64

  1. TU Wien

    Vienna, Austria

    4 h-index

    5 publications

    396 citations

  2. Tohoku University

    Sendai, Japan

    3 h-index

    3 publications

    89 citations

  3. The University of Melbourne

    Melbourne, Australia

    3 h-index

    3 publications

    50 citations

  4. University of Illinois Urbana-Champaign

    Urbana, United States

    3 h-index

    5 publications

    77 citations

  5. Centre National de la Recherche Scientifique

    Paris, France

    2 h-index

    2 publications

    64 citations

  6. Eindhoven University of Technology

    Eindhoven, The Netherlands

    2 h-index

    2 publications

    92 citations

  7. University of Florence

    Florence, Italy

    2 h-index

    4 publications

    68 citations

  8. Princeton University

    Princeton, United States

    2 h-index

    2 publications

    117 citations

1–8 of 64

Venues

  1. Journal of Combinatorial Theory Series B

    5 publications · 201 citations

    5

    h-index

  2. European Journal of Combinatorics

    4 publications · 96 citations

    4

    h-index

  3. COMBINATORICA

    3 publications · 357 citations

    3

    h-index

  4. Pacific Journal of Mathematics

    3 publications · 124 citations

    3

    h-index

  5. Journal of the American Mathematical Society

    JAMS · 3 publications · 179 citations

    3

    h-index

1–5