Journal article, Peer reviewed
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A subgraph complement of the graph G is a graph obtained from G by complementing all the edges in one of its induced subgraphs. We study the following algorithmic question: for a given graph G and graph class G, is there a subgraph complement of G which is in G? We show that this problem can be solved in polynomial time for various choices of the graphs class G, such as bipartite, d-degenerate, or cographs. We complement these results by proving that the problem is NP-complete when G is the class of regular graphs.