On a rank-unimodality conjecture of Morier-Genoud and Ovsienko

Thomas McConville, Bruce E. Sagan, Clifford Smyth

Let alpha = (a,b,...) be a composition. Consider the associated poset F(alpha), called a fence, whose covering relations are x_1 < x_2 < ... < x_{a+1} > x_{a+2} > ... > x_{a+b+1} <…