Concepedia

Polyhedral Combinatorics

Polyhedral Combinatorics is a branch of discrete mathematics that studies the combinatorial structure of polyhedra and polytopes, particularly their face lattices, vertex configurations, and integer hulls, to derive optimization-theoretic properties and solve problems in discrete geometry and discrete optimization.

398

Publications

19.6K

Citations

647

Authors

374

Institutions

Publications per year

2017–2026

22

Parents

Publications

398

Cones of Matrices and Set-Functions and 0–1 Optimization

László Lovász, Alexander Schrijver · SIAM Journal on Optimization · 1991 · 1K citations

, , +17

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

On the Complexity of Nonnegative Matrix Factorization

Stephen A. Vavasis · SIAM Journal on Optimization · 2009 · 600 citations

, , +11

The maximum numbers of faces of a convex polytope

Peter McMullen · Mathematika · 1970 · 585 citations

, , +7

Geometric Algorithms and Combinatorial Optimization

Janny Leung, Martin Grötschel, László Lovász et al. · Journal of the Operational Research Society · 1989 · 450 citations

, , +11

1–5 of 398

Authors

647

  1. PM
    Peter McMullen

    University College London, United Kingdom

    8 publications · 799 citations

    8

    h-index

  2. MG
    Martin Grötschel

    Zuse Institute Berlin, Germany

    6 publications · 728 citations

    6

    h-index

  3. TH
    Takayuki Hibi

    The University of Osaka, Japan

    5 publications · 212 citations

    5

    h-index

  4. GL
    George L. Nemhauser

    Georgia Institute of Technology, United States

    5 publications · 221 citations

    5

    h-index

  5. DB
    David Barnette

    University of California, Davis, United States

    5 publications · 273 citations

    5

    h-index

1–5 of 647

Institutions

374

  1. University College London

    London, United Kingdom

    10 h-index

    12 publications

    1.1K citations

  2. Georgia Institute of Technology

    Atlanta, United States

    10 h-index

    19 publications

    667 citations

  3. Centre National de la Recherche Scientifique

    Paris, France

    10 h-index

    15 publications

    302 citations

  4. University of California, Davis

    Davis, United States

    9 h-index

    16 publications

    1.3K citations

  5. University of Washington

    Seattle, United States

    9 h-index

    9 publications

    428 citations

  6. Hebrew University of Jerusalem

    Jerusalem, Israel

    7 h-index

    7 publications

    462 citations

  7. McGill University

    Montreal, Canada

    7 h-index

    9 publications

    320 citations

  8. Carnegie Mellon University

    Pittsburgh, United States

    7 h-index

    7 publications

    369 citations

1–8 of 374

Venues

  1. Mathematical Programming

    32 publications · 1.5K citations

    21

    h-index

  2. Discrete & Computational Geometry

    27 publications · 1.2K citations

    16

    h-index

  3. Discrete Applied Mathematics

    22 publications · 585 citations

    15

    h-index

  4. Discrete Mathematics

    14 publications · 538 citations

    12

    h-index

  5. Mathematics of Operations Research

    11 publications · 276 citations

    11

    h-index

1–5