Concepedia

Polytope Enumeration

Polytope Enumeration is a computational method in discrete geometry that systematically generates and classifies all combinatorially distinct polytopes satisfying specified constraints, such as dimension, number of vertices, or facet structure.

178

Publications

9.3K

Citations

276

Authors

183

Institutions

Publications per year

2017–2026

14

Parents

Publications

178

Root locations of an entire polytope of polynomials: It suffices to check the edges

Andrew Bartlett, C. V. Hollot, Lin Huang · Mathematics of Control Signals and Systems · 1988 · 819 citations

, , +5

Discrete Groups Generated by Reflections

H. S. M. Coxeter · Annals of Mathematics · 1934 · 463 citations

, , +12

A Polynomial Time Algorithm for Counting Integral Points in Polyhedra When the Dimension is Fixed

Alexander Barvinok · Mathematics of Operations Research · 1994 · 406 citations

, , +11

Computing the continuous discretely: integer-point enumeration in polyhedra

Choice Reviews Online · 2007 · 316 citations

, , +14

Finding the nearest point in A polytope

Philip Wolfe · Mathematical Programming · 1976 · 315 citations

, , +12

1–5 of 178

Authors

276

  1. SR
    Simone Rinaldi

    University of Florence, Italy

    5 publications · 112 citations

    5

    h-index

  2. DA
    David Avis

    McGill University, Canada

    4 publications · 116 citations

    4

    h-index

  3. MB
    Mireille Bousquet‐Mélou

    Laboratoire Bordelais de Recherche en Informatique, France

    4 publications · 375 citations

    4

    h-index

  4. ES
    Egon Schulte

    Northeastern University, United States

    4 publications · 89 citations

    4

    h-index

  5. KF
    K. Fukuda

    Kagawa University, Japan

    4 publications · 228 citations

    4

    h-index

1–5 of 276

Institutions

183

  1. University of Washington

    Seattle, United States

    7 h-index

    8 publications

    287 citations

  2. Laboratoire Bordelais de Recherche en Informatique

    Talence, France

    5 h-index

    6 publications

    419 citations

  3. Centre National de la Recherche Scientifique

    Paris, France

    5 h-index

    10 publications

    183 citations

  4. University of Waterloo

    Waterloo, Canada

    4 h-index

    4 publications

    109 citations

  5. Université Libre de Bruxelles

    Brussels, Belgium

    4 h-index

    8 publications

    201 citations

  6. University of Massachusetts Amherst

    Amherst Center, United States

    4 h-index

    8 publications

    3K citations

  7. University of Michigan

    Ann Arbor, United States

    4 h-index

    5 publications

    565 citations

  8. Rutgers, The State University of New Jersey

    New Brunswick, United States

    4 h-index

    11 publications

    576 citations

1–8 of 183

Venues

  1. Discrete & Computational Geometry

    14 publications · 770 citations

    12

    h-index

  2. Discrete Mathematics

    10 publications · 479 citations

    10

    h-index

  3. Journal of Combinatorial Theory Series A

    8 publications · 265 citations

    8

    h-index

  4. Mathematical Programming

    7 publications · 449 citations

    7

    h-index

  5. The Electronic Journal of Combinatorics

    5 publications · 86 citations

    5

    h-index

1–5