From 0 to 1 Data Structures & Algorithms in Java - Dealing With Negative Cycles In The Bellman Ford Algorithm

The video tutorial explains the concept of negative cycles in graphs and their impact on shortest path calculations. It introduces the Bellman Ford algorithm, which can handle graphs with negative weighted edges. The tutorial provides an example of a negative cycle and demonstrates how it affects path calculations. It also explains how to detect negative cycles using the Bellman Ford algorithm and discusses the algorithm's complexity in terms of edge and vertex traversal.

What is a negative cycle in the context of graph algorithms?

Explain the significance of detecting negative cycles in a graph.

What happens to the shortest path calculation when a negative cycle is present?

How does the Bellman Ford algorithm handle negative cycles?

Describe the process of detecting a negative cycle using the Bellman Ford algorithm.

What is the running time complexity of the Bellman Ford algorithm?

How does the representation of a graph (adjacency list vs. adjacency matrix) affect the performance of the Bellman Ford algorithm?