Bellman-Ford
Last updated
What is Bellman-Ford?
The Bellman Ford algorithm is a method used in graph theory for finding the shortest path between a single source vertex and all other vertices in a weighted graph. This algorithm is significant because it is capable of handling graphs with negative weight edges, unlike Dijkstra's algorithm. It follows a bottom-up approach, filling up the distance table gradually while relaxing edges. The algorithm gets its name from its developers, Richard Bellman and Lester Ford. However, it can lead to an infinite loop if there are negative weight cycles in the graph, which should be addressed separately using another check.
More in stage 11: Advanced Data Structures
- Advanced Data Structures
- Trie
- Segment Trees
- Fenwick Trees
- Disjoint Set (Union-Find)
- Suffix Trees and Arrays
- Binary Trees
- Tree Traversal
- Search Algorithms
- Binary Search Trees
- In-Order Traversal
- Breadth First Search
- AVL Trees
- Pre-Order Traversal
- Depth First Search
- B-Trees
- Heap
- Post-Order Traversal
- Search Algorithms
- Breadth First Search
- Depth First Search
- Shortest Path Algorithms
- Dijkstra's Algorithm
- A* Algorithm
- Minimum Spanning Tree
- Prim's Algorithm
- Kruskal's Algorithm
Bellman-Ford: common questions
Can I learn Bellman-Ford in Hindi?
This lesson is written in English. Once you sign in, open it in the interactive course and ask the AI tutor to explain Bellman-Ford in Hindi or Hinglish. The tutor answers from this lesson’s own text, so it stays on the syllabus, and it runs on your own Google, OpenAI or Anthropic key.
Is this Bellman-Ford tutorial for beginners?
It is lesson 75 of 107 in the free Data Structures & Algorithms roadmap, in stage 11, Advanced Data Structures. If you are new to Data Structures & Algorithms, start from stage 1 and come back here in order; if you already know the earlier stages, this lesson stands on its own.