Question: In cases where there are several different shortest paths between two nodes ( and edges havevarying lengths ) , the most convenient of these paths

In cases where there are several different shortest paths between two nodes

(

and edges havevarying lengths

),

the most convenient of these paths is often the one with fewest edges. Forinstance, if nodes represent cities and edge lengths represent costs of flying between cities, theremight be many ways to get from city s to city t which all have the same cost. The most convenientof these alternatives is the one which involves the fewest stopovers. Accordingly, for a specificstarting node s

,

define

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