Vertex Cover Problem Parameterized Above and Below Tight Bounds
Gregory Gutin, Eun Jung Kim, Michael Lampis, Valia Mitsou
Abstract
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Gregory Gutin, Eun Jung Kim, Michael Lampis, Valia Mitsou
Abstract
Open-access reader
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, Raman and Sikdar, J. Computer and System Sciences, 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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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, Raman and Sikdar, J. Computer and System Sciences, 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).
Key concepts: Parameterized complexity, Vertex cover, Cover (algebra), Vertex (graph theory), Combinatorics, Mathematics, Computer science, Discrete mathematics