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Bibliographic Details
Main Authors: Beveridge, Andrew, Calaway, Ian
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2601.14835
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Table of Contents:
  • We consider a family of binary triangular arrays, called approval ballot triangles (ABTs), that are in bijection with totally symmetric self-complementary plane partitions (TSSCPPs). These triangles correspond to a ballot process in which voters select their collection of approved candidates rather than voting for a single person. We situate ABTs within the ballot problem literature and then show that a strict-sense ballot can be decomposed into a list of sequentially compatible ABTs.