Concepedia

Lattice Enumeration

Lattice Enumeration is a systematic computational method that belongs to the class of lattice analysis techniques, distinguished by its purpose of generating and classifying all distinct Bravais lattices in a given dimension and crystal system according to symmetry and translational equivalence.

303

Publications

16.3K

Citations

434

Authors

283

Institutions

Publications per year

2017–2026

21

Parents

Publications

303

Improved methods for calculating vectors of short length in a lattice, including a complexity analysis

U. Fincke, Michael Pohst · Mathematics of Computation · 1985 · 1.4K citations · Full text

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Quantum field theory techniques in graphical enumeration

D. Bessis, C. Itzykson, J.B. Zuber · Advances in Applied Mathematics · 1980 · 600 citations

, , +11

Generating Hard Instances of Lattice Problems

Miklós Ajtai · Electronic colloquium on computational complexity · 1996 · 578 citations

, , +12

Some Properties of Enumeration in the Theory of Modular Systems

F. S. Macaulay · Proceedings of the London Mathematical Society · 1927 · 555 citations

, , +11

Exponential Sums and Lattice Points III

M. N. Huxley · Proceedings of the London Mathematical Society · 2003 · 484 citations

, , +10

1–5 of 303

Authors

434

  1. AJ
    A J Guttmann

    The University of Melbourne, Australia

    8 publications · 381 citations

    8

    h-index

  2. MF
    M F Sykes

    King's College London, United Kingdom

    6 publications · 507 citations

    6

    h-index

  3. IM
    Ira M. Gessel

    Brandeis University, United States

    4 publications · 183 citations

    4

    h-index

  4. RI
    Robert I. Soare

    University of Chicago, United States

    4 publications · 240 citations

    4

    h-index

  5. IJ
    Iwan Jensen

    The University of Melbourne, Australia

    4 publications · 377 citations

    4

    h-index

1–5 of 434

Institutions

283

  1. The University of Melbourne

    Melbourne, Australia

    16 h-index

    31 publications

    1.7K citations

  2. Centre National de la Recherche Scientifique

    Paris, France

    11 h-index

    17 publications

    1K citations

  3. Princeton University

    Princeton, United States

    8 h-index

    13 publications

    695 citations

  4. University of Vienna

    Vienna, Austria

    6 h-index

    6 publications

    126 citations

  5. University of California, Berkeley

    Berkeley, United States

    6 h-index

    7 publications

    486 citations

  6. Arizona State University

    Tempe, United States

    5 h-index

    8 publications

    248 citations

  7. University of London

    London, United Kingdom

    4 h-index

    4 publications

    183 citations

  8. University College London

    London, United Kingdom

    4 h-index

    4 publications

    84 citations

1–8 of 283

Venues

  1. Journal of Physics A Mathematical and General

    37 publications · 1.9K citations

    24

    h-index

  2. Mathematics of Computation

    MCOM · 8 publications · 1.8K citations

    8

    h-index

  3. Journal of Number Theory

    7 publications · 208 citations

    7

    h-index

  4. ArXiv.org

    Repository · 7 publications · 155 citations

    7

    h-index

  5. Discrete Mathematics

    7 publications · 208 citations

    7

    h-index

1–5