Clique editing to support case versus control discrimination

Abstract

We present a graph-based approach to support case vs control discrimination problems. The goal is to partition a given input graph in two sets, a clique and an independent set, such that there is no edge connecting a vertex of the clique with a vertex of the independent set. Following a parsimonious principle, we consider the problem that aims to modify the input graph into a most similar output graph that consists of a clique and an independent set (with no edge between the two sets). First, we present a theoretical result showing that the problem admits a polynomial-time approximation scheme. Then, motivated by the complexity of such an algorithm, we propose a genetic algorithm and we present an experimental analysis on simulated data.