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[Solved] Let G V E Directed Graph N Vertices M Edges Known Dfstrace G Function Dfs Called N Times V Q37245608

Let G (V, E) be a directed graph with n vertices and m edges. It is known that in dfsTrace of G the function dfs is called n

Let G (V, E) be a directed graph with n vertices and m edges. It is known that in dfsTrace of G the function dfs is called n times, once for each vertex It is also seen that dfs contains a loop whose body gets executed while visiting v once for each vertex w adjacent to v; that is the body gets executed once for each edge (v, w). In the worst case there are n adjacent vertices. What do these facts imply about the best asymptotic order (big O and/or big Θ) we can derive in terms of n and m about the worst-case time for dfsTrace? Explain your answer briefly Show transcribed image text Let G (V, E) be a directed graph with n vertices and m edges. It is known that in dfsTrace of G the function dfs is called n times, once for each vertex It is also seen that dfs contains a loop whose body gets executed while visiting v once for each vertex w adjacent to v; that is the body gets executed once for each edge (v, w). In the worst case there are n adjacent vertices. What do these facts imply about the best asymptotic order (big O and/or big Θ) we can derive in terms of n and m about the worst-case time for dfsTrace? Explain your answer briefly

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