#### Bounds and approximation results for scheduling coupled-tasks with compatibility constraints

##### Rodolphe Giroudeau, Jean-Claude König, Benoit Darties, Gilles Simonin

This article is devoted to propose some lower and upper bounds for the coupled-tasks scheduling problem in presence of compatibility constraints according to classical complexity hypothesis ($\mathcal{P} \neq \mathcal{NP}$, $\mathcal{ETH}$). Moreover, we develop an efficient polynomial-time approximation algorithm for the specific case for which the topology describing the compatibility constraints is a quasi split-graph.

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