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An overview on polynomial approximation of NP-hard problems

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Academic year: 2021

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Figure 1: Standard approximability classes (under the assumption P 6= NP).
Figure 3: A graph G, input of max independent set, and the possibility of existence of edges between sets V 0 , V 1 and V 1/2 computed by the solution of max independent set-r.
Figure 4: On the tightness of GREEDYSC with k = 4.
Figure 5: Tightness of the ratio achieved by Algorithm MATCHING. Putting (13) and (14) together, we immediately get: m(G, C)/τ (G) 6 2 as claimed.
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