Which algorithm is typically used to find the shortest path in a weighted graph?
Practice Questions
Q1
Which algorithm is typically used to find the shortest path in a weighted graph?
BFS
DFS
Dijkstra's Algorithm
Prim's Algorithm
Questions & Step-by-Step Solutions
Which algorithm is typically 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 route from a starting node to a destination node in a graph.
Step 3: Identify the algorithm used for this problem. Dijkstra's Algorithm is a well-known method for finding the shortest path in a weighted graph.
Step 4: Know how Dijkstra's Algorithm works. It starts at the initial node, explores all neighboring nodes, and keeps track of the shortest known distance to each node until it reaches the destination.