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This paper is devoted to review the main results on the dynamical behavior of parallel dynamical systems over graphs which constitute a generic tool for modeling discrete processes.

Modeling discrete processes is one of the most important tasks in modern mathematics.

We model populations of (human) agents and their interactions.

Contagions may be spread, for example, by face-to-face interaction and/or electronic means (e.g., social media).

Simulation is an effective way to study these dynamics of contagion spread.

Often simulations are carried out on populations that are represented as networks, where vertices represent agents (e.g., people) and edges represent their interactions.

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GDSCalc provides a user interface to select or create networks, assign models to vertices that describe their behavior, and specify the order in which the dynamics are processed; it also manages data and jobs across users.

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