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Let $G$ be a relatively hyperbolic group that admits a decomposition into afinite graph of relatively hyperbolic groups structure with quasi-isometrically(qi) embedded condition. We prove that the set of conjugates of all the vertexand edge groups satisfy the limit set intersection property for conical limitpoints. This result is motivated by the work of Sardar for graph of hyperbolicgroups.

A Limit Set Intersection Theorem for Graph of Relatively Hyperbolic Groups