following thought about the adjacency matrix of a graph.
Is it possible to distinguish from the adjacency matrix of a graph if the whole system of points is interconnected, or if there are 2 or more subsystems, whcih have connections inside each subsystem but the subsystems are not connected to each other.
Which properties does the adjacency matrix need to represent a interconnected system, or where do i have to seed the "ones" in the matrox to ensure the whole system is interconnected?
I havent figured it out on my own my some example systems, but maybe someone has the answer on this already.
many thanks in advance