Solutions of Reeder's Puzzle
Combinatorics
2017-06-20 v4
Abstract
In this paper we consider the generalized Reeder's puzzle, introduced by Reeder in 2005 and generalized by Borovoi and Evenor in 2016. We give a detailed solution of the puzzle for the graphs of Dynkin diagrams and affine Dynkin diagrams. We find the number of equivalence classes in each case. We also discuss more general graphs, and prove the main theorem about graphs (simply-laced trees) that contain E_6 as a subgraph.
Keywords
Cite
@article{arxiv.1511.03069,
title = {Solutions of Reeder's Puzzle},
author = {Zachi Evenor},
journal= {arXiv preprint arXiv:1511.03069},
year = {2017}
}