Sketch the pseudo code for Breadth First Search for any graph G and Level Order Traversal for a tree T. Show that both traversals are in O(Vs + Es) time, where
S in (G, T) , VS represents the set of vertices in S, and ES represents the set of edges in S. Can we approximate this time complexity to be O(Ve) for both the cases?
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$Sketch the pseudo code for Breadth First Search for any graph $ G $ and Level Order Traversal for a tree $ \mathbf{T} $.$

Sketch the pseudo code for Breadth First Search for any graph $ G $ and Level Order Traversal for a tree $ \mathbf{T} $. Show that both traversals are in $ O\left(V_{S}+E_{S}\right) $ time, where $ S \in G, T $, VS represents the set of vertices in $ S $, and $ E_{S} $ represents the set of edges in $ S $. Can we approximate this time complexity to be $ O\left(V_{E}\right) $ for both the cases? Comment in detail.

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