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This paper considers the problem of hard real-time fixed priority scheduling of sporadic graph tasks on a uniprocessor. We study feasibility conditions based on the computation of the worst case response times of the graph tasks. A sporadic graph task associated to an application is characterized by a set of subtasks under precedence constraints. We investigate the late deadline constraint. We extend already published papers established in the preemptive case to the nonpreemptive case and to the hybrid case of an application composed of preemptive and nonpreemptive subtasks.