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

Explore with Wolfram|Alpha

WolframAlpha

More things to try:

References

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

Referenced on Wolfram|Alpha

Cite this as:

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

Subject classifications