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We present in this article an evolutionary procedure for solving general optimization problems. The procedure combines efficiently the mechanism of a simple descent method and of genetic algorithms. In order to explore the solution space properly, periods of optimization are interspersed with phases of interaction and diversification. An adaptation of this search principle to coloring problems in graphs is discussed. More precisely, given a graph G, we are interested in finding the largest induced subgraph of G that can be colored with a fixed number q of colors. When q is larger or equal to the chromatic number of G, then the problem amounts to finding an ordinary coloring of the vertices of G.

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Objective:To evaluate the quality of care provided for people with HIV/AIDS at the Reference Center for the treatment of AIDS in Natal-RN, in the health professionals' perspective. Methods: Evaluative and quantitative research conducted in a public hospital in Natal/RN, from August 2010 to July 2011, through structured interviews with professionals who provide care for people with HIV. Results: The evaluation of the service was considered satisfactory by 58.8% of respondents, standing on nine indicators: support offered by the service, convenience of service hours, host, provided guidance on treatment, timeliness of health professionals, availability of antiretroviral drugs, availability of laboratory tests, professional/user relationship and ease of access to service. Conclusion: There was no significant difference in satisfaction with the indicators: punctuality of professionals, convenience of service timetables and availability of laboratory tests.

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