On Off-Diagonal Ordered Ramsey Numbers of Nested Matchings

For two ordered graphs \(G^<\) and \(H^<\), the ordered Ramsey number \(r_<(G^<,H^<)\) is the minimum N such that every red-blue coloring of the edges of the ordered complete graph \(K^<_N\) contains a red copy of \(G^<\) or a blue copy of \(H^<\).