depth_first_order(csgraph, i_start, directed=True, return_predecessors=True)¶
Return a depth-first ordering starting with specified node.
Note that a depth-first order is not unique. Furthermore, for graphs with cycles, the tree generated by a depth-first search is not unique either.
New in version 0.11.0.
csgraph : array_like or sparse matrix
The N x N compressed sparse graph. The input csgraph will be converted to csr format for the calculation.
i_start : int
The index of starting node.
directed : bool, optional
If True (default), then operate on a directed graph: only move from point i to point j along paths csgraph[i, j]. If False, then find the shortest path on an undirected graph: the algorithm can progress from point i to j along csgraph[i, j] or csgraph[j, i].
return_predecessors : bool, optional
If True (default), then return the predecesor array (see below).
node_array : ndarray, one dimension
The depth-first list of nodes, starting with specified node. The length of node_array is the number of nodes reachable from the specified node.
predecessors : ndarray, one dimension
Returned only if return_predecessors is True. The length-N list of predecessors of each node in a depth-first tree. If node i is in the tree, then its parent is given by predecessors[i]. If node i is not in the tree (and for the parent node) then predecessors[i] = -9999.