Mathematics Atlas

How Proof Is Made
Sign In
Text size
100%
Theme
Mathematical Object

Hook Length Formula

Combinatorics and Graph Theory

In combinatorial mathematics, the hook length formula gives the number of standard Young tableaux whose shape is a given Young diagram. It has applications across representation theory, probability and algorithm analysis, including the problem of longest increasing subsequences, and a related formula counts semi-standard Young tableaux as a specialization of a Schur polynomial. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/

Facts
Classification
Object Kind
Equation 1
Origin Year
1953 1
Connections

In Branch

Source Hook Length Formula (Wikipedia)

Is Kind Of Object

Equation, Concepts
Sources
1. Hook Length Formula (Wikipedia)
  • Lead section
    In combinatorial mathematics, the hook length formula is a formula for the number of standard Young tableaux whose shape is a given Young diagram.
  • Article text
    The hook length formula itself was discovered in 1953 by Frame, Robinson, and Thrall as an improvement to the Young-Frobenius formula.
  • In Branch: Combinatorics, Lead paragraph
    In combinatorial mathematics, the hook length formula is a formula for the number of standard Young tableaux whose shape is a given Young diagram.
View the Source
Comments (0)
No comments yet. Be the first to share a thought.
Reader Challenges (0)
No disputes yet. Spotted an error or a better source? Open the first one.