The primeness is necessary in the last statement ofTheorem B, since the connected sum of two figure eight knots is alternating, but it has a minimal non-alternating projection. Note that the figure… Expand

We show that, at least for an alternating fibered link or 2-bridge link L, there is an exact formula which expresses the braid index b(L) of L as a function of the 2-variable generalization PL(I, m)… Expand