Which of the following algorithms can be used to find the shortest path in a gra
Practice Questions
Q1
Which of the following algorithms can be used to find the shortest path in a graph with negative weights?
Dijkstra's algorithm
A* algorithm
Bellman-Ford algorithm
Depth-first search
Questions & Step-by-Step Solutions
Which of the following algorithms can be used to find the shortest path in a graph with negative weights?
Step 1: Understand what a graph is. A graph is made up of nodes (or vertices) connected by edges.
Step 2: Learn about weights. In a graph, edges can have weights, which represent costs or distances. Some weights can be negative.
Step 3: Know that finding the shortest path means finding the least costly way to travel from one node to another.
Step 4: Realize that some algorithms work only with positive weights, but we need one that can handle negative weights.
Step 5: Identify the Bellman-Ford algorithm. This is a specific algorithm designed to find the shortest path in graphs, even when there are negative weights.
Step 6: Remember that the Bellman-Ford algorithm can also detect negative weight cycles, which are situations where you can keep reducing the path cost indefinitely.
