Clustering faces of multiple triangulated 3D surfaces

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Dear All,
I have two matrices (F and V for faces and vertices) which contain the triangulation of bunch of points in 3D. F shows the points each face uses and V lists the coordinates of all the points.
What are the methods for clustering these triangles based on connectivity? In other words, given F and V, I want to determine how many connected triangles I have.
Thanks,
Ahmad

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