in each clique can be linearly ordered with respect to inclusion. It is known that the maximum
cardinality cut problem (MaxCut MAXCUT) is NP-hard NP-hard in co-bipartite graphs
(Bodlaender and Jansen, Nordic J Comput 7 (2000): 14–31, 2000). We consider MaxCut
MAXCUT in co-bipartite chain graphs. We first consider the twin-free case and present an
explicit solution. We then show that MaxCut MAXCUT is polynomial time solvable in this …