Concepedia

Total Ordering

Total Ordering is a mathematical relation that belongs to the class of binary relations on a set, distinguished by the property that every pair of elements is comparable, ensuring that for any two elements a and b, either a ≤ b or b ≤ a holds, thereby imposing a linear sequence on all elements in the context of distributed synchronization.

222

Publications

17.5K

Citations

419

Authors

226

Institutions

Publications per year

2017–2026

21

Variants

Linear Ordering

Parents

Publications

222

Time, clocks, and the ordering of events in a distributed system

Leslie Lamport · Communications of the ACM · 1978 · 8.4K citations · Full text

, , +17

Diversification Under Supply Uncertainty

Ravi Anupindi, Ram Akella · Management Science · 1993 · 491 citations

, , +17

Naturally Totally Ordered Commutative Semigroups

A. H. Clifford · American Journal of Mathematics · 1954 · 267 citations

, , +4

Automated Theorem-Proving for Theories with Simplifiers Commutativity, and Associativity

James R. Slagle · Journal of the ACM · 1974 · 256 citations · Full text

, , +13

Ranking Tournaments

Noga Alon · SIAM Journal on Discrete Mathematics · 2006 · 227 citations

, , +16

1–5 of 222

Authors

419

  1. PM
    P. M. Melliar‐Smith

    University of California, Santa Barbara, United States

    4 publications · 119 citations

    4

    h-index

  2. AR
    Asok Ray

    Pennsylvania State University, United States

    4 publications · 88 citations

    4

    h-index

  3. HC
    Hubert Comon

    Centre National de la Recherche Scientifique, France

    4 publications · 140 citations

    4

    h-index

  4. LE
    Louise E. Moser

    University of California, Santa Barbara, United States

    3 publications · 104 citations

    3

    h-index

  5. EV
    Edward V. Huntington

    Harvard University Press, United States

    2 publications · 52 citations

    2

    h-index

1–5 of 419

Institutions

226

  1. Carnegie Mellon University

    Pittsburgh, United States

    8 h-index

    16 publications

    1.7K citations

  2. Pennsylvania State University

    State College, United States

    6 h-index

    9 publications

    234 citations

  3. AT&T (United States)

    Bedminster, United States

    6 h-index

    8 publications

    216 citations

  4. Centre National de la Recherche Scientifique

    Paris, France

    5 h-index

    6 publications

    230 citations

  5. Cornell University

    Ithaca, United States

    5 h-index

    6 publications

    423 citations

  6. University of Southern California

    Los Angeles, United States

    5 h-index

    14 publications

    1.2K citations

  7. University of California, Berkeley

    Berkeley, United States

    4 h-index

    7 publications

    336 citations

  8. National Institute of Technology Tiruchirappalli

    Tiruchchirappalli, India

    4 h-index

    8 publications

    148 citations

1–8 of 226

Venues

  1. Theoretical Computer Science

    7 publications · 345 citations

    7

    h-index

  2. Transactions of the American Mathematical Society

    TRAN · 6 publications · 176 citations

    6

    h-index

  3. 4

    h-index

  4. SIAM Journal on Computing

    4 publications · 293 citations

    4

    h-index

  5. SIAM Journal on Discrete Mathematics

    3 publications · 259 citations

    3

    h-index

1–5