a well - known theorem states that a set of N branches is a spanning tree if and only if the respective columns of constitute a full rank submatrix [27] . Thus graph - based algorithms are usually adopted to select the candidate subnet-works. Given the undirected graph of a single - component network, determin-ing whether a candidate set of N branches constitutes a spanning tree reduces to checking whether they form a single connected component. Alternatively, instead of checking for radiality, on a posteriori, straightforward algorithm is available to generate radial subnetworks, either from scratch or by performing branch exchanges on existing radial networks.
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