Concepedia

Circle Packings

Circle Packings is a geometric construct consisting of an arrangement of non-overlapping circles in a plane or on a surface, distinguished by the combinatorial pattern of their tangency relations and often optimized to satisfy specified packing density or conformity to a discrete metric.

216

Publications

9.8K

Citations

304

Authors

180

Institutions

Publications per year

2017–2026

23

Variants

Circle Packing

Parents

Publications

216

The Number of Circles Covering a Set

Richard Kershner · American Journal of Mathematics · 1939 · 548 citations

, , +8

The convergence of circle packings to the Riemann mapping

Burt Rodin, Dennis Sullivan · Journal of Differential Geometry · 1987 · 386 citations · Full text

, , +9

Combinatorial Ricci Flows on Surfaces

Bennett Chow, Feng Luo · Journal of Differential Geometry · 2003 · 335 citations · Full text

, , +8

Dense packings of congruent circles in a circle

Ron Graham, Boris D. Lubachevsky, Kari J. Nurmela et al. · Discrete Mathematics · 1998 · 233 citations

, , +6

Solving circle packing problems by global optimization: Numerical results and industrial applications

Ignacio Castillo, F. J. Kampas, János D. Pintér · European Journal of Operational Research · 2007 · 215 citations

, , +11

1–5 of 216

Authors

304

  1. KS
    Kenneth Stephenson

    University of Tennessee at Knoxville, United States

    14 publications · 565 citations

    13

    h-index

  2. OS
    Oded Schramm

    Weizmann Institute of Science, Israel

    7 publications · 418 citations

    7

    h-index

  3. BR
    Burt Rodin

    University of California San Diego, United States

    6 publications · 517 citations

    6

    h-index

  4. ZH
    Zheng-Xu He

    University of California San Diego, United States

    6 publications · 340 citations

    6

    h-index

  5. WH
    Wenqi Huang

    Huazhong University of Science and Technology, China

    6 publications · 297 citations

    6

    h-index

1–5 of 304

Institutions

180

  1. Huazhong University of Science and Technology

    Wuhan, China

    16 h-index

    38 publications

    1.5K citations

  2. University of California San Diego

    San Diego, United States

    10 h-index

    12 publications

    773 citations

  3. University of Tennessee at Knoxville

    Knoxville, United States

    10 h-index

    15 publications

    658 citations

  4. Princeton University

    Princeton, United States

    6 h-index

    8 publications

    325 citations

  5. Universidade de São Paulo

    São Paulo, Brazil

    5 h-index

    9 publications

    487 citations

  6. AT&T (United States)

    Bedminster, United States

    5 h-index

    9 publications

    1.2K citations

  7. University of California, Irvine

    Irvine, United States

    5 h-index

    8 publications

    167 citations

  8. Beijing Jiaotong University

    Beijing, China

    4 h-index

    4 publications

    139 citations

1–8 of 180

Venues

  1. Discrete & Computational Geometry

    15 publications · 593 citations

    13

    h-index

  2. Computers & Operations Research

    10 publications · 623 citations

    10

    h-index

  3. European Journal of Operational Research

    9 publications · 795 citations

    9

    h-index

  4. Mathematics Magazine

    7 publications · 251 citations

    7

    h-index

  5. Journal of Differential Geometry

    6 publications · 914 citations

    6

    h-index

1–5