On Jun 27, 10:54 am, venkat kumar <[email protected]> wrote:
> in single source shortest path ,having neg cost edges is good but:
>
>                                                                   1)it may
> lead us goto into a loop of arbitrary time
> in the meanwhile we can have another path with minimum  positive cost but
> with less time.
> now by taking time factor into consideration,ie,larger path with neg cost or
> smaller path with larger cost
>  how to code this??

I'm not sure what you mean.  The Floyd-Warshall algorithm will solve
the all-pairs SP problem correctly even if there are negative edge
weights.  If there is a negative cycle that includes node N, then it
will show a negative value for the SP from N to N.  This is the total
negative value for one trip around the cycle.  Of course you can keep
getting paths of less weight for all nodes on any negative cycle by
traversing the cycle as many times as you like.

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