Hi I saw the answer: 

�If the graph has n nodes and is represented by an adjacency matrix, you can 
square the matrix (log_2 n)+1 times. Then you can multiply the matrix 
element-wise by its transpose. �

I�m a PhD student working on my research and I need to check for cycles in a 
directed graph to make sure it is a DAG. The answer given is extremely useful 
but I need the theorem statement, or a reference. Do you have a book where this 
is stated or a paper?

Thanks!

Daniela.
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