Adding edges to equalize the closeness centralities of two nodes is NP-hard; the ratio version has a quasilinear 6/11-approximation, and the gap version has no multiplicative approximation unless P=NP.
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Equalizing Closeness Centralities via Edge Additions
Adding edges to equalize the closeness centralities of two nodes is NP-hard; the ratio version has a quasilinear 6/11-approximation, and the gap version has no multiplicative approximation unless P=NP.