Almost Cohen-Macaulay bipartite graphs and connected in codimension two

In this paper we study almost Cohen-Macaulay bipartite graphs. Furthermore, we prove that if \(G\) is almost Cohen-Macaulay bipartite graph with at least one vertex of positive degree, then there is a vertex of \(\deg(v) \leq 2\). In particular, if \(G\) is an almost Cohen-Macaulay bipartite graph and \(u\) is a vertex of degree one of \(G\) and \(v\) its adjacent vertex, then \(G\setminus\{v\}\) is almost Cohen-Macaulay. Also, we show that an unmixed Ferrers graph is almost Cohen-Macaulay if and only if it is connected in codimension two. Moreover, we give some examples.