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Graph Terminology (cont)

A spanning tree of connected graph G = (V,E)
  • is a subgraph of G containing all of V
  • and is a single tree (connected, no cycles)
A spanning forest of non-connected graph G = (V,E)
  • is a subgraph of G containing all of V
  • and is a set of trees (not connected, no cycles),
    • with one tree for each connected component