Which algorithm uses a priority queue to find the shortest path in a graph?

Practice Questions

Q1
Which algorithm uses a priority queue to find the shortest path in a graph?
  1. Dijkstra's Algorithm
  2. Kruskal's Algorithm
  3. Prim's Algorithm
  4. Bellman-Ford Algorithm

Questions & Step-by-Step Solutions

Which algorithm uses a priority queue to find the shortest path in a graph?
  • Step 1: Understand what a graph is. A graph consists of vertices (points) and edges (connections between points).
  • Step 2: Learn about paths in a graph. A path is a sequence of edges that connects two vertices.
  • Step 3: Know what a shortest path is. The shortest path is the path with the least total weight (distance or cost) between two vertices.
  • Step 4: Familiarize yourself with algorithms. An algorithm is a step-by-step procedure to solve a problem.
  • Step 5: Discover Dijkstra's Algorithm. It is a specific algorithm designed to find the shortest path in a graph.
  • Step 6: Understand the role of a priority queue. A priority queue is a data structure that allows you to efficiently retrieve the next vertex with the smallest distance.
  • Step 7: Realize that Dijkstra's Algorithm uses a priority queue to keep track of which vertex to explore next based on the shortest known distance.
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