Séminaire Lotharingien de Combinatoire, B75g (2016), 13 pp.
Arvind Ayyer, Amritanshu Prasad and Steven Spallone
Odd Partitions in Young's Lattice
Abstract.
We show that the subgraph induced in Young's graph by the set of
partitions with an odd number of standard Young tableaux is a binary
tree.
This tree exhibits self-similarities at all scales, and has a simple recursive description.
Received: January 8, 2016.
Accepted: June 3, 2016.
Final Version: June 6, 2016.
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