Ndijkstra's algorithm example pdf document

Step through dijkstra s algorithm to calculate the singlesource shortest paths from a to every other. Given a graph and a source vertex in the graph, find shortest paths from source to all vertices in the given graph. The dijkstras algorithm works on a weighted graph with nonnegative edge weights and ultimately gives a shortest path tree. To find locations of map which refers to vertices of graph. In reference to the diagram above, i will give a stepbystep explanation for each graph marked with the number on top in purple. The algorithm maintains a list visited of vertices, whose shortest distance from the source is already known. Cse373 fall 20 example exam questions on dijkstras algor ithm and one on amortized analysis name. Hello people in this post i will talk about one of the fastest single source shortest path algorithms, which is, the dijkstras algorithm. Dijkstra s algorithm, published in 1959 and named after its creator dutch computer scientist edsger dijkstra, can be applied on a weighted graph. Cse373 fall 20 example exam questions on dijkstra s algorithm name. Jan 11, 2015 the dijkstras algorithm is a little tricky. Cse373 fall 20 example exam questions on dijkstras.

Like prims mst, we generate a spt shortest path tree with given source as root. Importance of dijkstra s algorithm many more problems than you might at. Solution to the singlesource shortest path problem in graph theory. Dijkstra s algorithm is very similar to prims algorithm for minimum spanning tree. Dijkstra solves the problem of finding the shortest path from a point in a graph the source to a destination. The algorithm creates a tree of shortest paths from the starting vertex, the source, to all other points in the graph. What are the real life applications of dijkstras algorithm. Dijkstra algorithm is also called single source shortest path algorithm.