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.
Durfee Square
See also
Conjugate Partition, Durfee Polynomial, Ferrers Diagram, PartitionExplore with Wolfram|Alpha
References
Skiena, S. Implementing Discrete Mathematics: Combinatorics and Graph Theory with Mathematica. Reading, MA: Addison-Wesley, 1990.Referenced on Wolfram|Alpha
Durfee SquareCite this as:
Weisstein, Eric W. "Durfee Square." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/DurfeeSquare.html