Geodesic
Odd Partitions in Young's Lattice
Séminaire lotharingien de combinatoire, Tome 75 (2016-2019)
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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. 

@article{SLC_2016-2019_75_a6,
     author = {Arvind Ayyer and Amritanshu Prasad and Steven Spallone},
     title = {Odd {Partitions} in {Young's} {Lattice}},
     journal = {S\'eminaire lotharingien de combinatoire},
     year = {2016-2019},
     volume = {75},
     url = {http://geodesic.mathdoc.fr/item/SLC_2016-2019_75_a6/}
}
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AU  - Steven Spallone
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%A Amritanshu Prasad
%A Steven Spallone
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%F SLC_2016-2019_75_a6
Arvind Ayyer; Amritanshu Prasad; Steven Spallone. Odd Partitions in Young's Lattice. Séminaire lotharingien de combinatoire, Tome 75 (2016-2019). http://geodesic.mathdoc.fr/item/SLC_2016-2019_75_a6/