From 0 to 1 Data Structures & Algorithms in Java - The Bellman Ford Algorithm Visualized

The video tutorial explains the Bellman Ford algorithm, focusing on its application to graphs with negative weighted edges. It details the initialization of the distance table and the process of iterating through vertices and edges to update distances. The tutorial demonstrates the first and second iterations, showing how distances are updated and why V-1 iterations are necessary for accurate results. The explanation includes the importance of edge exploration and the logic behind the number of iterations required for the algorithm to work on any graph.

What is the initial distance assigned to all vertices in the Bellman-Ford algorithm?

• Zero

• Negative

• Infinity

• One

Why can the Bellman-Ford algorithm start from any vertex?

• It covers all edges in the graph

• It only works with positive edges

• It only works with a specific vertex

• It requires a fixed starting point

During the first iteration, what is the key focus in the Bellman-Ford algorithm?

• Exploring edges

• Updating vertex names

• Exploring vertices

• Ignoring negative edges

What happens if a new calculated distance is smaller than the existing one in the distance table?

• Remove the vertex

• Update the distance table

• Add a new vertex

• Ignore the new distance

After the first iteration, which distances are accurate?

• Distances one edge away

• No distances

• All distances

• Distances two edges away

In the second iteration, what is the result if a new distance is larger than the existing one?

• Update the distance

• Ignore the new distance

• Remove the edge

• Add a new edge

What is the outcome after the second iteration of the Bellman-Ford algorithm?

• Only negative edges are considered

• All distances are accurate

• Some distances are inaccurate

• No distances are updated

Why are multiple iterations necessary in the Bellman-Ford algorithm?

• To guarantee accurate distances

• To ensure all vertices are visited

• To increase complexity

• To reduce execution time

What is the longest possible path in a graph with V vertices?

• V edges

• V+1 edges

• 2V edges

• V-1 edges

Why are V-1 iterations required in the Bellman-Ford algorithm?

• To guarantee shortest path accuracy

• To increase algorithm speed

• To ensure all paths are explored

• To handle only positive edges