Concepedia

Noncrossing Partitions

Noncrossing Partitions is a combinatorial structure in enumerative combinatorics consisting of a set partition wherein no two blocks cross when the elements are arranged in cyclic order, meaning that there do not exist four elements a < b < c < d such that a and c belong to one block while b and d belong to another.

91

Publications

3.8K

Citations

122

Authors

91

Institutions

Publications per year

2017–2026

7

Parents

Publications

91

Multiplicative functions on the lattice of non-crossing partitions and free convolution

Roland Speicher · Mathematische Annalen · 1994 · 321 citations

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Non-crossing partitions for classical reflection groups

Victor Reiner · Discrete Mathematics · 1997 · 270 citations

, , +5

Noncrossing partitions and representations of quivers

Archipelago (Université du Québec à Montréal) · 2009 · 164 citations

, , +12

Clusters, Coxeter-sortable elements and noncrossing partitions

Nathan Reading · Transactions of the American Mathematical Society · 2007 · 154 citations · Full text

, , +10

On the structure of the lattice of noncrossing partitions

Rodica Simion, Daniel H. Ullman · Discrete Mathematics · 1991 · 144 citations

, , +3

1–5 of 91

Authors

122

  1. AN
    Alexandru Nica

    University of Waterloo, Canada

    6 publications · 287 citations

    6

    h-index

  2. NR
    Nathan Reading

    University of Michigan, United States

    5 publications · 294 citations

    5

    h-index

  3. RS
    Roland Speicher

    Queen's University, Canada

    5 publications · 615 citations

    5

    h-index

  4. HT
    Hugh Thomas

    University of New Brunswick, Canada

    4 publications · 121 citations

    4

    h-index

  5. WY
    William Y. C. Chen

    Nankai University, China

    4 publications · 105 citations

    4

    h-index

1–5 of 122

Institutions

91

  1. Massachusetts Institute of Technology

    Cambridge, United States

    6 h-index

    6 publications

    385 citations

  2. University of Minnesota

    Minneapolis, United States

    6 h-index

    6 publications

    404 citations

  3. Nankai University

    Tianjin, China

    5 h-index

    14 publications

    339 citations

  4. George Washington University

    Washington, United States

    4 h-index

    5 publications

    432 citations

  5. Centre National de la Recherche Scientifique

    Paris, France

    4 h-index

    5 publications

    76 citations

  6. University of Waterloo

    Waterloo, Canada

    4 h-index

    5 publications

    111 citations

  7. North Carolina State University

    Raleigh, United States

    4 h-index

    4 publications

    269 citations

  8. National and Kapodistrian University of Athens

    Athens, Greece

    3 h-index

    3 publications

    103 citations

1–8 of 91

Venues

  1. The Electronic Journal of Combinatorics

    13 publications · 446 citations

    12

    h-index

  2. Discrete Mathematics

    13 publications · 728 citations

    11

    h-index

  3. Transactions of the American Mathematical Society

    TRAN · 6 publications · 394 citations

    6

    h-index

  4. Journal of Algebraic Combinatorics

    4 publications · 127 citations

    4

    h-index

  5. Discrete Mathematics & Theoretical Computer Science

    DMTCS · 4 publications · 69 citations

    4

    h-index

1–5