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?
Depth First Search
Breadth First Search
Dijkstra's Algorithm
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.