Betti splittings and multigraded Betti numbers of cover ideals of bipartite graphs

Satoshi Murai, Mitsuki Shiina

In this note, we study Betti splittings of cover ideals of bipartite graphs. We prove that if $J\subset \mathbb{k}[x_1,\dots ,x_n]$ is the cover ideal of a bipartite graph then the $x_…