Before revision:  We prove that MMVC does not admit polynomial kernels parameterized by the size of a minimum vertex cover, even on bipartite graphs, unless NP \subseteq coNP / poly . Motivated by a question of Boria et al.
After revision:  We prove that MMVC does not admit polynomial kernels parameterized by the size of a minimum vertex cover, even on bipartite graphs, unless NP \subseteq coNP / poly question of Boria et al.