Dijkstra’s Algorithm C Program

C Program To Implement Dijkstra’s Algorithm To Find Shortest Path

Learn How To Implement Dijkstra’s Algorithm in C Programming using Adjacency Matrix. The Dijkstra’s Algorithm is used to find the shortest path in a weighted graph.

What is Dijkstra’s Algorithm?

Dijkstras Algorithm is useful for finding the shortest path in a weighted graph. In any graph G, the shortest path from a source vertex to a destination vertex can be calculated using Dijkstra’s Algorithm.

Must Read: C Program To Implement Kruskal’s Algorithm

Every vertex is labelled with pathLength and predecessor. The pathLength denotes the shortest path whereas the predecessor denotes the predecessor of a given vertex in a path. The values of the pathLength and predecessor can be updated more than once in this algorithm. Initially, all the vertices are made Temporary. If a vertex is made Permanent, it means that the shortest distance has been found out. Once a vertex is made permanent, then the values of the pathLength and predecessor for it become fixed and cannot be changed thereafter.

Dijkstras Algorithm is similar to Prim’s Algorithm To Find Minimum Spanning Trees. Dijkstras Algorithm works only for graphs having non – negative weights.

Steps for Dijkstra’s Algorithm

1. Set the pathLength of all the vertices to Infinity, predecessor of all the vertices to NIL and the status of all the vertices to temporary.
2. Set pathLength of source vertex to Zero.
3. Find the vertex that has the minimum value of pathLength by checking all the vertices in the graph and set its status as Permanent and consider it as the current vertex.
4. Check all the temporary vertices adjacent to the current vertex. Now, the value of the pathLength is recalculated for all these temporary successors of current vertex, and relabelling is done if needed.
5. Repeat the steps 3 and 4 until there is no temporary vertex remaining in the graph. In case if there are any vertices left, then they must have pathLength as Infinity.

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C Program For Dijkstra’s Algorithm using Adjacency Matrix

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Output

In case you get any Compilation Errors or any doubts in this C Program For Dijkstra’s Algorithm for finding Shortest Path, let us know about it in the Comment Section below. Find more about this algorithm on Wikipedia.

Tushar Soni

I am Tushar Soni, Co - Founder of CodingAlpha. I am a computer science student from India and passionate about Web Development and Programming. Connect with me on Facebook | LinkedIn | Google Plus

6 thoughts on “Dijkstra’s Algorithm C Program”

• October 1, 2016 at 10:47 am

What other algorithms are used to find out Shortest Path for a weighted graph apart from the Dijkstra’s Algorithm?

• October 2, 2016 at 7:29 pm

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• October 2, 2016 at 7:30 pm

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