Concepedia

Affine Equivalence

Affine Equivalence is an equivalence relation on geometric figures or sets in affine geometry that classifies two objects as equivalent if one can be transformed into the other by an invertible affine transformation, preserving collinearity, parallelism, and ratios of distances along parallel lines.

52

Publications

1.7K

Citations

84

Authors

62

Institutions

Publications per year

2017–2026

8

Parents

Publications

52

New classes of almost bent and almost perfect nonlinear polynomials

Lilya Budaghyan, Claude Carlet, Alexander Pott · IEEE Transactions on Information Theory · 2006 · 226 citations

, , +4

Equivalence between chain categories of representations of affine sl(2) and N=2 superconformal algebras

Boris Feigin, A. M. Semikhatov, I. Yu. Tipunin · Journal of Mathematical Physics · 1998 · 109 citations · Full text

, , +12

A criterion for the affine equivalence of cell complexes inR d and convex polyhedra inR d+1

Franz Aurenhammer · Discrete & Computational Geometry · 1987 · 84 citations · Full text

, , +13

A Compactness Theorem For Affine Equivalence-Classes of Convex Regions

A. M. Macbeath · Canadian Journal of Mathematics · 1951 · 79 citations · Full text

, , +16

Affine analog of the proper base change theorem

Ofer Gabber · Israel Journal of Mathematics · 1994 · 64 citations

, , +9

1–5 of 52

Authors

84

  1. TW
    Thomas W. Cusick

    University at Buffalo, State University of New York, United States

    3 publications · 87 citations

    3

    h-index

  2. VS
    Vladimir S. Matveev

    Friedrich Schiller University Jena, Germany

    2 publications · 30 citations

    2

    h-index

  3. ED
    Ed Dawson

    Queensland University of Technology, Australia

    2 publications · 34 citations

    2

    h-index

  4. LP
    Léo Perrin

    Institut national de recherche en sciences et technologies du numérique, France

    2 publications · 47 citations

    2

    h-index

  5. CL
    Christian Lamote

    KU Leuven, Belgium

    2 publications · 63 citations

    2

    h-index

1–5 of 84

Institutions

62

  1. Institut national de recherche en sciences et technologies du numérique

    Le Chesnay-Rocquencourt, France

    3 h-index

    5 publications

    320 citations

  2. University at Buffalo, State University of New York

    Buffalo, United States

    3 h-index

    3 publications

    87 citations

  3. KU Leuven

    Leuven, Belgium

    3 h-index

    4 publications

    97 citations

  4. Queensland University of Technology

    Brisbane, Australia

    2 h-index

    6 publications

    102 citations

  5. Universidad de Alcalá

    Alcalá de Henares, Spain

    2 h-index

    4 publications

    50 citations

  6. Centre National de la Recherche Scientifique

    Paris, France

    2 h-index

    2 publications

    100 citations

  7. Republic of Korea Army

    Daejeon, South Korea

    2 h-index

    2 publications

    47 citations

  8. University of California, Berkeley

    Berkeley, United States

    2 h-index

    3 publications

    155 citations

1–8 of 62

Venues

  1. IEEE Transactions on Information Theory

    3 publications · 261 citations

    3

    h-index

  2. Classical and Quantum Gravity

    2 publications · 61 citations

    2

    h-index

  3. Information Sciences

    2 publications · 70 citations

    2

    h-index

  4. Discrete Applied Mathematics

    2 publications · 28 citations

    2

    h-index

  5. Journal of Mathematical Physics

    2 publications · 122 citations

    2

    h-index

1–5