Let G = (V, E) be a weighted undirected graph and let T be a Minimum Spanning Tree (MST) of G maintained using adjacency lists. Suppose a new weighted edge (u, v) ϵ V × V is added to G. The worst case time complexity of determining if T is still an MST of the resultant graph is

Let G = (V, E) be a weighted undirected graph and let T be a Minimum S

1.	Let G = (V, E) be a weighted undirected graph and let T be a Minimum Spanning Tree (MST) of G maintained using adjacency lists. Suppose a new weighted edge (u, v) ϵ V × V is added to G. The worst case time complexity of determining if T is still an MST of the resultant graph is
A.	Θ(\|E\| + \|V\|)
B.	Θ(\|E\|\|V\|)
C.	Θ(\|E\| log \|V\|)
D.	Θ(\|V\|)
Answer» E.

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Let G = (V, E) be a weighted undirected graph and let T be a Minimum Spanning Tree (MST) of G maintained using adjacency lists. Suppose a new weighted edge (u, v) ϵ V × V is added to G. The worst case time complexity of determining if T is still an MST of the resultant graph is
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Let G = (V, E) be a weighted undirected graph and let T be a Minimum Spanning Tree (MST) of G maintained using adjacency lists. Suppose a new weighted edge (u, v) ϵ V × V is added to G. The worst case time complexity of determining if T is still an MST of the resultant graph is

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