Concepedia

Bridge Number

Bridge number is the minimal number of local maxima of the height function over all possible embeddings of a knot in three-dimensional space, considered as a topological invariant that classifies knots by the least number of bridges required in any diagram representing the knot.

49

Publications

1.4K

Citations

90

Authors

64

Institutions

Publications per year

2017–2026

3

Variants

Bridge Index

Parents

Publications

49

A generalized bridge number for links in 3-manifolds

Helmut Doll · Mathematische Annalen · 1992 · 99 citations

, , +8

X-ray diffraction of actively shortening muscle.

Richard J. Podolsky, H St Onge, Linda Chia‐Hui Yu et al. · Proceedings of the National Academy of Sciences · 1976 · 72 citations · Full text

, , +14

How hard is it to approximate the Jones polynomial?

Greg Kuperberg · arXiv (Cornell University) · 2009 · 70 citations · Full text

, , +15

Additivity of bridge numbers of knots

Jennifer Schultens · Mathematical Proceedings of the Cambridge Philosophical Society · 2003 · 67 citations

, , +7

Thin position and bridge number for knots in the 3-sphere

Abigail Thompson · Topology · 1997 · 65 citations

, , +7

1–5 of 49

Authors

90

  1. JJ
    Jesse Johnson

    Oklahoma State University, United States

    4 publications · 64 citations

    4

    h-index

  2. AZ
    Alexander Zupan

    The University of Texas at Austin, United States

    3 publications · 79 citations

    3

    h-index

  3. KL
    Kenneth L. Baker

    University of Miami, United States

    2 publications · 43 citations

    2

    h-index

  4. RJ
    Richard J. Podolsky

    National Institute of Arthritis and Musculoskeletal and Skin Diseases, United States

    2 publications · 122 citations

    2

    h-index

  5. SL
    S. Landis

    CEA Grenoble, France

    2 publications · 35 citations

    2

    h-index

1–5 of 90

Institutions

64

  1. University of California, Davis

    Davis, United States

    4 h-index

    4 publications

    175 citations

  2. The University of Texas at Austin

    Austin, United States

    3 h-index

    4 publications

    88 citations

  3. Oklahoma State University

    Stillwater, United States

    3 h-index

    3 publications

    49 citations

  4. Centre National de la Recherche Scientifique

    Paris, France

    3 h-index

    7 publications

    130 citations

  5. Duke University

    Durham, United States

    2 h-index

    4 publications

    158 citations

  6. Université Grenoble Alpes

    Saint-Martin-d'Hères, France

    2 h-index

    5 publications

    93 citations

  7. Commissariat à l'Énergie Atomique et aux Énergies Alternatives

    Paris, France

    2 h-index

    9 publications

    157 citations

  8. Princeton University

    Princeton, United States

    2 h-index

    2 publications

    37 citations

1–8 of 64

Venues

  1. Journal of Knot Theory and Its Ramifications

    5 publications · 113 citations

    5

    h-index

  2. Algebraic & Geometric Topology

    AGT · 4 publications · 79 citations

    4

    h-index

  3. arXiv (Cornell University)

    Repository · 4 publications · 144 citations

    4

    h-index

  4. 3

    h-index

  5. Transactions of the American Mathematical Society

    TRAN · 3 publications · 80 citations

    3

    h-index

1–5