Concepedia

Face Enumeration

Face Enumeration is a combinatorial problem in topological combinatorics concerned with determining the number and structure of faces across all dimensions in a simplicial complex or more general topological space, distinguished by its focus on enumerating face counts and their interrelations within the underlying geometric or combinatorial framework.

71

Publications

4.2K

Citations

86

Authors

76

Institutions

Publications per year

2017–2026

5

Parents

Publications

71

Facing up to arrangements: face-count formulas for partitions of space by hyperplanes

Thomas Zasĺavsky · Memoirs of the American Mathematical Society · 1975 · 637 citations

, , +6

The number of faces of a simplicial convex polytope

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

, , +7

Computing the continuous discretely: integer-point enumeration in polyhedra

Choice Reviews Online · 2007 · 316 citations

, , +14

The numbers of faces of simplicial polytopes

Peter McMullen · Israel Journal of Mathematics · 1971 · 208 citations

, , +8

Counting the Faces of Randomly-Projected Hypercubes and Orthants, with Applications

David L. Donoho, Jared Tanner · Discrete & Computational Geometry · 2009 · 188 citations · Full text

, , +7

1–5 of 71

Authors

86

  1. RP
    Richard P. Stanley

    Massachusetts Institute of Technology, United States

    4 publications · 648 citations

    4

    h-index

  2. ES
    Ed Swartz

    Cornell University, United States

    3 publications · 91 citations

    3

    h-index

  3. KF
    K. Fukuda

    Kagawa University, Japan

    2 publications · 153 citations

    2

    h-index

  4. AM
    Ambros Marzetta

    École Polytechnique Fédérale de Lausanne, Switzerland

    2 publications · 153 citations

    2

    h-index

  5. TZ
    Thomas Zasĺavsky

    Binghamton University, United States

    2 publications · 667 citations

    2

    h-index

1–5 of 86

Institutions

76

  1. University of Washington

    Seattle, United States

    6 h-index

    6 publications

    401 citations

  2. Massachusetts Institute of Technology

    Cambridge, United States

    5 h-index

    6 publications

    725 citations

  3. Cornell University

    Ithaca, United States

    4 h-index

    4 publications

    115 citations

  4. Otsuka (Japan)

    Tokyo, Japan

    2 h-index

    2 publications

    84 citations

  5. École Polytechnique Fédérale de Lausanne

    Lausanne, Switzerland

    2 h-index

    3 publications

    294 citations

  6. The University of Melbourne

    Melbourne, Australia

    2 h-index

    2 publications

    42 citations

  7. University of Tsukuba

    Tsukuba, Japan

    2 h-index

    2 publications

    84 citations

  8. Bielefeld University

    Bielefeld, Germany

    2 h-index

    2 publications

    35 citations

1–8 of 76

Venues

  1. Discrete & Computational Geometry

    5 publications · 392 citations

    5

    h-index

  2. Advances in Mathematics

    4 publications · 557 citations

    4

    h-index

  3. Canadian Journal of Mathematics

    4 publications · 343 citations

    4

    h-index

  4. The Electronic Journal of Combinatorics

    3 publications · 59 citations

    3

    h-index

  5. Journal of Combinatorial Theory Series B

    3 publications · 165 citations

    3

    h-index

1–5