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graph_dfs_edges(graph, /, source=None)#

Get an edge list of the tree edges from a depth-first traversal

The pseudo-code for the DFS algorithm is listed below. The output contains the tree edges found by the procedure.

DFS(G, v)
  let S be a stack
  label v as discovered
  PUSH(S, (v, iterator of G.neighbors(v)))
  while (S != Ø)
      let (v, iterator) := LAST(S)
      if hasNext(iterator) then
          w := next(iterator)
          if w is not labeled as discovered then
              label w as discovered                   # (v, w) is a tree edge
              PUSH(S, (w, iterator of G.neighbors(w)))
  end while


If the input is an undirected graph with a single connected component, the output of this function is a spanning tree.

  • graph (PyGraph) – The graph to get the DFS edge list from

  • source (int) – An optional node index to use as the starting node for the depth-first search. The edge list will only return edges in the components reachable from this index. If this is not specified then a source will be chosen arbitrarly and repeated until all components of the graph are searched.


A list of edges as a tuple of the form (source, target) in depth-first order

Return type: