Finding clusters in adjacency matrix

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hello guys,

I have adjacency matrix of a graph with certain weights (from 1 to 5) in edges connecting the nodes. I would be interested of finding certain amount of clusters in this adjacency matrix. Criterion to form cluster would be, that nodes that have a strong connections tend to belong to same cluster. Clusters can either overlap or not to overlap. I would also want to force matlab to find different amounts of clusters. I am not a very good with matlab, so it would be great thing to find some easy-to-use tool(box) for playing with this adjacency matrix and finding clusters. Is there any tools available that would easily solve my problem?

Thanks already for your answers,

-John