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Editorial Team
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Editorial Team
Asked: May 17, 20262026-05-17T23:36:07+00:00 2026-05-17T23:36:07+00:00

Who first proved that all comparison-based sorting is at least Omega(n lg n)? Is

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Who first proved that all comparison-based sorting is at least Omega(n lg n)?
Is there a name attached to this lower-bound? e.g. The SomeGuysLastName Theorem?

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  1. Editorial Team
    Editorial Team
    2026-05-17T23:36:07+00:00Added an answer on May 17, 2026 at 11:36 pm

    My copy of ‘Introduction to Algorithms’ has this to say in the chapter notes for chapter 8, which is where this bound is discussed:

    The decision-tree model for studying comparision sorts was introduced by Ford and Johnson (1). Knuth’s comprehensive treatise on sorting (2) covers many variations of the sorting problem, including the information-theoretic lower bound on the complexity of sorting given here.

    (1) Lester R. Ford, Jr. and Selmer M. Johnson. A tournament problem. The American Mathematical Monthly, 66:387-389, 1959.

    (2) Donald E. Knuth. Sorting and Searching, volume 3 of The Art of Computer Programming. Addison-Wesley, 1973.

    Not a defininite answer to your question, but it’s something.

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