Concepedia

Face Lattices

Face Lattices is a mathematical structure that organizes the set of faces of a convex polytope ordered by inclusion, forming a graded lattice where the partial order captures the incidence relations among faces, thereby encoding the combinatorial topology of the polytope.

67

Publications

4.3K

Citations

102

Authors

74

Institutions

Publications per year

2017–2026

6

Variants

Face Lattice

Parents

Publications

67

Vertex-, face-, point-, Schläfli-, and Delaney-symbols in nets, polyhedra and tilings: recommended terminology

Vladislav A. Blatov, M. O’Keeffe, Davide Μ. Proserpio · CrystEngComm · 2009 · 750 citations · Full text

, , +12

Shellable Nonpure Complexes and Posets. I

Anders Björner, Michelle L. Wachs · Transactions of the American Mathematical Society · 1996 · 514 citations · Full text

, , +12

The number of faces of a simplicial convex polytope

Richard P. Stanley · Advances in Mathematics · 1980 · 494 citations

, , +7

On lexicographically shellable posets

Anders Björner, Michelle L. Wachs · Transactions of the American Mathematical Society · 1983 · 257 citations · Full text

, , +13

A class of geometric lattices based on finite groups

Thomas A. Dowling · Journal of Combinatorial Theory Series B · 1973 · 215 citations

, , +13

1–5 of 67

Authors

102

  1. BS
    Bernd Sturmfels

    University of California, Berkeley, United States

    4 publications · 135 citations

    4

    h-index

  2. ML
    Michelle L. Wachs

    University of Miami, United States

    3 publications · 929 citations

    3

    h-index

  3. AB
    Anders Björner

    KTH Royal Institute of Technology, Sweden

    3 publications · 929 citations

    3

    h-index

  4. MO
    M. O’Keeffe

    Arizona State University, United States

    2 publications · 801 citations

    2

    h-index

  5. NM
    N. Metropolis

    Los Alamos National Laboratory, United States

    2 publications · 71 citations

    2

    h-index

1–5 of 102

Institutions

74

  1. Massachusetts Institute of Technology

    Cambridge, United States

    4 h-index

    4 publications

    533 citations

  2. University Hospital Magdeburg

    Magdeburg, Germany

    2 h-index

    2 publications

    23 citations

  3. Arizona State University

    Tempe, United States

    2 h-index

    2 publications

    801 citations

  4. California Institute of Technology

    Pasadena, United States

    2 h-index

    3 publications

    71 citations

  5. University of Bonn

    Bonn, Germany

    2 h-index

    2 publications

    38 citations

  6. Stanford University

    Stanford, United States

    2 h-index

    2 publications

    24 citations

  7. Cornell University

    Ithaca, United States

    2 h-index

    2 publications

    47 citations

  8. The University of Melbourne

    Melbourne, Australia

    2 h-index

    3 publications

    74 citations

1–8 of 74

Venues

  1. Transactions of the American Mathematical Society

    TRAN · 4 publications · 945 citations

    4

    h-index

  2. The Electronic Journal of Combinatorics

    3 publications · 81 citations

    3

    h-index

  3. European Journal of Combinatorics

    3 publications · 59 citations

    3

    h-index

  4. Discrete & Computational Geometry

    3 publications · 72 citations

    3

    h-index

  5. arXiv (Cornell University)

    Repository · 3 publications · 38 citations

    3

    h-index

1–5