Show that we can use a depth-first search of an undirected graph G to identify the connected components of G, and that the depth-first forest contains as many trees as G has connected components. More precisely, show how to modify depth-first search so that it assigns to each vertex an integer label :cc between 1 and k, where k is the number of connected components of G, such that u:cc D :cc if and only if u and are in the same connected component.
Show that we can use a depth-first search of an undirected graph G to identify the connected components of G, and that the depth-first forest contains as many trees as G has connected components. More precisely, show how to modify depth-first search so that it assigns to each vertex an integer label :cc between 1 and k, where k is the number of connected components of G, such that u:cc D :cc if and only if u and are in the same connected component.
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Show that we can use a depth-first search of an undirected graph G to identify the
connected components of G, and that the depth-first forest contains as many trees
as G has connected components. More precisely, show how to modify depth-first
search so that it assigns to each vertex an integer label :cc between 1 and k,
where k is the number of connected components of G, such that u:cc D :cc if
and only if u and are in the same connected component.
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