Abstract
We study the well-known Vertex Cover problem parameterized above and below tight bounds. We show that two of the parameterizations (both were suggested by Mahajan et al. in J. Comput. Syst. Sci. 75(2):137–153, 2009) are fixed-parameter tractable and two other parameterizations are W[1]-hard (one of them is, in fact, W[2]-hard).
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Gutin, G., Kim, E.J., Lampis, M. et al. Vertex Cover Problem Parameterized Above and Below Tight Bounds. Theory Comput Syst 48, 402–410 (2011). https://doi.org/10.1007/s00224-010-9262-y
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DOI: https://doi.org/10.1007/s00224-010-9262-y