Approximation algorithms for the weighted independent set problem in sparse graphs
Discrete Applied Mathematics
Approximation of min coloring by moderately exponential algorithms
Information Processing Letters
On-line computation and maximum-weighted hereditary subgraph problems
ISAAC'05 Proceedings of the 16th international conference on Algorithms and Computation
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We obtain improved approximation ratios for problems of a broad class called weighted hereditary induced-subgraph maximization problems, in particular for the maximum independent set, maximum clique and maximum ℓ-colorable induced subgraph, as well as for the minimum coloring problem. We also study the minimum chromatic sum and show that its weighted version polynomially reduces to the weighted independent set problem in such a way that approximation ratios are preserved (up to a multiplicative constant).