Preordering: A hybrid of correlation clustering and partial ordering

Code

• github.com/jannikirmai/preordering-problem
  OfficialIn papernone★ 0

Abstract

We discuss the preordering problem, a joint relaxation of the correlation clustering problem and the partial ordering problem. We show that preordering remains NP-hard even for values in \-1,0,1\. We introduce a linear-time 4-approximation algorithm and a local search technique. For an integer linear program formulation, we establish a class of non-canonical facets of the associated preorder polytope. By solving a non-canonical linear program relaxation, we obtain non-trivial upper bounds on the objective value. We provide implementations of the algorithms we define, apply these to published social networks and compare the output and efficiency qualitatively and quantitatively.

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