Beyond Max-Cut: λ-extendible properties parameterized above the Poljak–Turzík bound

作者:

Highlights:

• 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).

摘要

•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).

论文关键词:Algorithms and data structures,Fixed-parameter tractable algorithms,Above-guarantee parameterization,Max-Cut,λ-extendible properties

论文评审过程:Received 14 May 2013, Revised 18 February 2014, Accepted 4 April 2014, Available online 18 April 2014.

论文官网地址:https://doi.org/10.1016/j.jcss.2014.04.011