### Applications

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A* Algorithm, an algorithm to find shortest-path weight from single source to single destination is an extension of Dijkstra’s algorithm and is widely used in developing navigation apps like Google Maps.

It is also used as a “subroutine” (like “INITIALIZE-SINGLE-SOURCE” and “RELAX” algorithm here in many other algorithms like Johnson’s algorithm, which is introduced in Chapter 25 of Introduction to Algorithms by CLRS.

For example, if the nodes of the graph represent cities and edge path costs represent driving distances between pairs of cities connected by a direct road (for simplicity, ignore red lights, stop signs, toll roads and other obstructions), Dijkstra’s algorithm can be used to find the shortest route between one city and all other cities. A widely used application of shortest path algorithm is network routing protocols, most notably IS-IS (Intermediate System to Intermediate System) and Open Shortest Path First (OSPF).

– Wikipedia

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