DIAMETERS OF GRAPHS OF REDUCED WORDS AND RANK-TWO ROOT SUBSYSTEMS
We study the diameter of the graph G(w) of reduced words of an element w in a Coxeter group W whose edges correspond to applications of the Coxeter relations. We resolve conjectures of Reiner-Roichman [Trans. Amer. Math. Soc. 365 (2013), pp. 2279-2802] and Dahlberg-Kim [Diameters of graphs on reduce...
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Format: | Article |
Language: | English |
Published: |
American Mathematical Society
2022
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Online Access: | View Fulltext in Publisher |