A partition is said to contain another partition if the Ferrers diagram of contains the Ferrers diagram of . For example, (left figure) contains both and (right figures). Young's lattice is the partial order of partitions contained within ordered by containment (Skiena 1990, p. 77).
Contained Partition
See also
Partition, Young's LatticeExplore with Wolfram|Alpha
References
Skiena, S. Implementing Discrete Mathematics: Combinatorics and Graph Theory with Mathematica. Reading, MA: Addison-Wesley, 1990.Referenced on Wolfram|Alpha
Contained PartitionCite this as:
Weisstein, Eric W. "Contained Partition." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/ContainedPartition.html