On the membership problem for the {0, 1/2}-closure

Letchford, A N and Pokutta, Sebastian and Schulz, AS (2011) On the membership problem for the {0, 1/2}-closure. Operations Research Letters, 39 (5). pp. 301-304. ISSN 0167-6377

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Abstract

In integer programming, {0,1/2}-cuts are Gomory–Chvátal cuts that can be derived from the original linear system by using coefficients of value 0 or 1/2 only. The separation problem for {0,1/2}-cuts is strongly NP-hard. We show that separation remains strongly NP-hard, even when all integer variables are binary.