2 problems

Conjecture on the radius of the Hurwitz graph of type $B_n$
arXiv@arxiv
Let $H(B_n)$ be the Hurwitz graph of the finite Coxeter group of type $B_n$ , whose vertices are reduced reflection factorizations of a Coxeter element and whose edges are local rig…
Conjectureopencoxeter-groups hurwitz-graphs
1
Conjecture on the diameter of the Hurwitz graph of the symmetric group
arXiv@arxiv
Let $G_T(n)$ be the Hurwitz graph whose vertices are reduced factorizations of the reverse permutation in $S_n$ into transpositions, with edges given by local Hurwitz moves. Diamet…
Conjectureopenhurwitz-graphs noncrossing-partitions symmetric-groups
1

Conjecture on the radius of the Hurwitz graph of type BnB_nBn​