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Durfee Square


DurfeeSquare

The length of the largest-sized square contained within the Ferrers diagram of a partition. Its size can be determined using DurfeeSquare[f] in the Wolfram Language package Combinatorica` . The size of the Durfee square remains unchanged between a partition and its conjugate partition (Skiena 1990, p. 57). In the plot above, the Durfee square has size 3.


See also

Conjugate Partition, Durfee Polynomial, Ferrers Diagram, Partition

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References

Skiena, S. Implementing Discrete Mathematics: Combinatorics and Graph Theory with Mathematica. Reading, MA: Addison-Wesley, 1990.

Referenced on Wolfram|Alpha

Durfee Square

Cite this as:

Weisstein, Eric W. "Durfee Square." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/DurfeeSquare.html

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