3 problems

Burstein–Han–Kitaev–Zhang conjecture. The two displayed partially ordered patterns are shape-Wilf-equivalent:

Bipartite characterization conjecture. A POP class has a rational generating function if and only if it is bipartite.

Symmetry characterization for zig-zag classes. If two zig-zag classes are symmetrically equivalent, then one is formed by complementing the labels of the other or by reversing all…