Diameter of reduced words

Details Diameter of reduced words Diameter of reduced words

2009-06-25

arxiv.org/abs/0906.4768v3

Mathematics

Combinatorics

Version to appear in Trans. Amer. Math. Soc

Scientific paper

For finite reflection groups of types A and B, we determine the diameter of
the graph whose vertices are reduced words for the longest element and whose
edges are braid relations. This is deduced from a more general theorem that
applies to supersolvable hyperplane arrangements.

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