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Constraint-based design is often used to correctly author a multimedia scenario due to its flexibility and efficiency. However, such a system must provide a mechanism with which users can easily manipulate the underlying structures to meet the application requirements. This paper proposes a novel method for analyzing multimedia synchronization constraints based on the constraint graph and classification, which is essential in developing efficient system support tools for constraint-based authoring systems. We specify temporal and spatial relations between multimedia objects, and use a directed graph to represent the constraints among the objects in a multimedia scenario. Moreover, we develop a method for analyzing temporal and spatial synchronization constraints based on graph theory, solving the problems of completeness checking, consistency checking, constraints relaxation and automatic spatio-temporal layout generation in a unified theoretical framework. We also discuss the effects of user interactive authoring. Compared with other methods, the proposed approach is simpler, more efficient, and easier to implement.