Which algorithm would you use to find the shortest path in a weighted graph?
Practice Questions
Q1
Which algorithm would you use to find the shortest path in a weighted graph?
BFS
DFS
Dijkstra's Algorithm
Prim's Algorithm
Questions & Step-by-Step Solutions
Which algorithm would you use 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: Know that finding the shortest path means you want to find the least costly way to travel from one node to another in the graph.
Step 3: Learn about Dijkstra's Algorithm. This is a method specifically designed to find the shortest path in a weighted graph.
Step 4: Remember that Dijkstra's Algorithm works by exploring all possible paths from the starting node and keeping track of the shortest distance to each node until it reaches the destination.
Step 5: Note that if the graph is unweighted (meaning all edges have the same weight), you would use a different method called Breadth-First Search (BFS) instead.