For this problem, consider the Bellman-Ford pseudocode given below. Bellman-Ford

Question

For this problem, consider the Bellman-Ford pseudocode given below.

Bellman-Ford(G, w, s)

// initialize all v.d = 0 and v.n = NIL

// initialize s.d = 0

for i = 1 to |V| - 1

for each (u,v) E

Relax(u,v,w)

for each (u,v) E

if v.d > u.d + w(u,v)

return false

return true

First:

Analyze the running-time of Bellman Ford as given.

then:

Of course, the above algorithm doesn’t update a table the way most of our dynamic programming algorithms have done so far. Revise the given code, still following our pseudocode conventions, so that the dynamic-programming memoization table would be updated as expected. Is the run-time of your revised algorithm faster or slower than the original?

Explanation / Answer

1.Ans is faster it is used way of thinking is dynamic.these Bellman-Ford pseudocode is find single source shortest paths on directed graph..that designed graph in negative weight edges.in the given graph shortest paths from source to all our graph vertices.

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