Dijkstra algorithm program in c with output

For this, the adjacency matrix of the graph above is:. Compiling it on other platforms such as Turbo C may produce errors, and might require some modifications to the code. Go to this link to learn how routing algorithms work. You can find more C Tutorials here. Nice explanation. Since you have 6 nodes for the given example, you could run your loop 6 times. Once again thanks for the code.

We truly appreciate it. Plz correct that. And can u plz add some snapshot of program output? A snapshot of program is helpful. And I think in each program,at the start of program,if you add a printf statement stating how to use the program,will be helpful. Anyway,I found your site very very helpful. Keep it up! The source code will be relatively easy to understand after that. Thursday, January 13, Your matrix is ti big, change the variable MAX to be 25 or 26, to be safe.

Email : [email protected]. Programs are witten in difficult ways. What I found that a program is considered best in written complex way. But any software program is considered in written is simple and understandable manner. Hello, Can you please explain me how it works? Your email address will not be published.

Dijkstra algorithm is also called single source shortest path algorithm. It is based on greedy technique. The algorithm maintains a list visited[ ] of vertices, whose shortest distance from the source is already known. If visited[1], equals 1, then the shortest distance of vertex i is already known. Initially, visited[i] is marked as, for source vertex. Here, we will start checking the distance from node 'A' to its adjacent vertex.

You can see the adjacent vertexes are 'B' and 'C' with weights '10' and '3', respectively. Remember that you don't have to add the two vertexes to the shortest path immediately. Firstly, we will update the distance from infinity to given weights.

Then we have to select the node closest to the source node depending on the updated weights. Mark it as visited and add it to the path. Now select the vertex with the smaller path length as visited vertex and put it in the answer. Now, we have to analyze the new adjacent vertex to find the shortest path. So we will visit the neighboring nodes of the visited vertex and update the path lengths as required. Note that node 'B' is directly connected adjacent to node 'A,' hence, node 'B' weight will be the same as displayed.

Now, choosing the shortest path from the above table results in choosing the node 'E' with the shortest distance of 5 from the source vertex. Repeat the process until all vertices have been visited. Here, vertex 'B' and vertex 'D' are both considered adjacent vertex, and the shortest distance of both the vertex from the source node does not change, as shown in the figure below.

Therefore, the weight of vertex 'B' is minimum compared to vertex 'D,' so we will mark it as a visited node and add it to the path. After visiting vertex 'B,' we are left with visiting vertex 'D.

Vertex Distance from source. However, if the input graph is represented using an adjacency list method of representation of graph , then the time complexity can be reduced to O E log V using a binary heap. The space complexity of Dijkstra's algorithm is O V , where V is the total number of vertices of the graph.

This is because we have to store all these vertices in the list as an output. Graphs are used as a connection between objects, people, or entities, and Dijkstra's algorithm will help you find the shortest distance between two points in a graph. As Dijkstra's algorithm has its own importance in the real world, it is most recommended to learn and understand it in detail. Already have an Account? Sign In Name E-mail Password.