Abstract Given a (di) graph upper H H H, we say that a (di) graph upper H prime H ′ H^ is an upper H H H -subdivision if upper H prime H ′ H^ is obtained from upper H H H by replacing one or more edges with internally vertex-disjoint paths. Pavez-Signé conjectured that for every epsilon greater than 0 ε > 0 0, there exists a constant upper C 0 greater than 0 C 0 > 0 C₀ 0 such that for every graph upper H H H with h h
Wang et al. (Mon,) studied this question.