ok..
So if an edge is removed from existing path.Do i have to again find the
shortest path ?

On Fri, Apr 20, 2012 at 11:08 AM, Luke Pebody <[email protected]> wrote:

> Here's a start for you. Find the shortest route. This works as an answer
> if you remove any edge not in that route. Now you just have to solve it for
> any removed edges that are in that route.
>
>
>
> On 20 Apr 2012, at 05:19, vivek dhiman <[email protected]> wrote:
>
> Hi all geeks
>
> So I have a simple question.
>
> Suppose you have a graph  G(V,E).
> You are supposed to find the shortest path from a vertex 's' to vertex 'e'
> for 'n' different cases.
>
> In each case one of the edges  'Ei' (any one edge) of the graph will be
> blocked/deleted only for that case and we have to find the shortest path in
> the graph with that edge removed.
>
> Guys finding the shortest path is easy. But how can I make the algo so
> fast that even if I remove one of the edges my algo should still be very
> fast. O(n log n) or  faster.
> Remember we are not deleting the edges permanently. We are just temporary
> removing one edge per case.
> In each case only one edge is removed.
> Suppose we blocked one edge E in one case. We have to find the shortest
> path for the graph.
> In next case, we will reconnect the last edge and we will block/remove a
> new edge. And again for this new case we have to find the shortest path.
>
> Another way of understanding the problem is suppose there are cities
> connected to each other.
> And every day one of the roads gets blocked because of heavy rain. what is
> the shortest path every day from city s to e.
> Also one more important thing to note that each road can be used only
> once.
> But there could be more than 1 direct road from city a to city b.
>
> FInd the shortest path distance from city s to e on a day when all direct
> roads from city f to city h are blocked. If there is no connecting path
> return -1
>
> Thanks and Regards
> Vivek Dhiman
>
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-- 
Regards
Vivek Dhiman

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