April 2024
Intermediate to advanced
832 pages
29h 31m
English
Content preview from Design and Analysis of Algorithms
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258 Design and Analysis of Algorithms
10.5 EXAMPLE [SHORTEST PATH]
The problem of the roads between cities that we considered while introducing the Minimum Spanning Tree
above can be modifi ed as follows. The weights of the edges can be considered to represent the lengths of the
roads or cost of the travel on the roads. A traveler will be interested to know the following:
1. Is there a path from city A to city B?
2. If there are more than one paths from A to B, which is the shortest or least-cost path?
When we compare this particular problem to the minimum spanning tree problem, we realize that, here
we are interested in the length of a particular ...
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