![]() Using the min priority queue, we can easily remove the shortest node from the queue top in a small amount of time. Initially, all vertices will have the shortest distance of infinity and the starting vertex will have the shortest distance 0. Resulting in the slow working of the Algorithm. You should use priority queue where the vertex with the shortest distance from the starting vertex will get the highest priority. The time complexity using Priority Queue is O (log V).Ī simple Queue has more traversing time, which will increase the time complexity of the Dijkstra Algorithm. The time complexity of the Dijkstra Algorithm using a simple Queue is O(V2). Its elements are arranged in the order of first come first served. Finding the shortest weights of the node is not easy. Simple Queue uses the FIFO principle to insert and remove its elements. The problems with implementing Dijkstra Algorithm using Simple Graph are − To find the shortest path, we have to traverse the graph and this will take the time complexity of O(V) with Queue. Yes, we can use Simple Queue for Dijkstra Algorithm implementation but it is not feasible. Can we use Simple Queue instead of Priority queue to implement Dijkstra’s Algorithm? The graph undergoes several insertions and deletions of the nodes with changing priorities. The distance will act as a priority for the Queue and will deQueue the nodes with the smallest priority.īy using the min priority queue, the queue will arrange the shortest distance nodes on the queue top. Priority Queue is used to implement the Dijkstra algorithm as all vertices have distances and we traverse the graph to find the shortest distance. The important feature of the priority Queue is arranging elements as per priority. The space Complexity of the Dijkstra Algorithm is O (V) Why we Use Priority Queue to Implement Dijkstra Algorithm? The Time Complexity of Dijkstra Algorithm is O (E log V) In this article, we will see the implementation of the Dijkstra algorithm using the priority queue of C++ STL. The other applications of this algorithm are Social Networking and Telephonic Lines. There are various real-life applications of the Dijkstra Algorithm the one we all mostly use is Google Maps. It traverses several vertices from source to destination to get the minimum distance.ĭijkstra Algorithm uses a greedy approach to get the most optimal solution. It uses directed or undirected graphs to find the shortest path from one node to multiple nodes. This algorithm aims to determine the smallest distance between two objects. It removes its elements with the highest or lowest priority based on the type of Priority Queue.Īscending Order Priority Queue or Min Queueĭescending Order Priority Queue or Max Queueĭijkstra Algorithm is a single source shortest path algorithm. A simple Queue uses FIFO (First In First Out) approach for its deQueue and enQueue operations.Ī priority Queue is a type of Queue that deQueue its elements with their priority. What is a Priority Queue and A Queue?Ī queue is a linear array of data. In this tutorial, we will find the answer to whether can we use a simple queue to implement Dijkstra’s algorithm instead of a Priority Queue. To implement this algorithm we mostly use Priority Queue. Dijkstra’s Algorithm is used to find the shortest possible distance between two objects.
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