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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