We derive fixed-parameter algorithms for a generalization of above-guarantee Max-Cut.
The generalization also captures properties of oriented/edge-labelled graphs.
Our results build on and generalize the work of Crowston et al. (ICALP 2012) on Max-Cut.
As a corollary we solve an open question of Raman and Saurabh (Theor. Comput. Sci. 2006).