Which algorithm is used to find the shortest path in a weighted graph?

Practice Questions

Q1
Which algorithm is used to find the shortest path in a weighted graph?
  1. Depth First Search
  2. Breadth First Search
  3. Dijkstra's Algorithm
  4. Merge Sort

Questions & Step-by-Step Solutions

Which algorithm is used to find the shortest path in a weighted graph?
  • Step 1: Understand what a weighted graph is. A weighted graph is a type of graph where each edge has a numerical value (weight) that represents the cost to travel from one node to another.
  • Step 2: Learn about the shortest path problem. This problem involves finding the least costly path from a starting node to a destination node in a graph.
  • Step 3: Identify Dijkstra's Algorithm. This is a specific method used to solve the shortest path problem in weighted graphs.
  • Step 4: Know how Dijkstra's Algorithm works. It starts at the initial node, explores all possible paths, and keeps track of the shortest distance to each node until it reaches the destination.
  • Step 5: Recognize that Dijkstra's Algorithm is efficient for graphs with non-negative weights.
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