High School Bellman's and Bellman-Ford algorithm

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SUMMARY

The discussion clarifies the distinction between Bellman's algorithm and Bellman-Ford's algorithm, both of which compute shortest paths from a single source vertex to all other vertices in a weighted directed graph (digraph). While often used interchangeably, Bellman-Ford specifically refers to the algorithm that accommodates negative weight edges, whereas Bellman's algorithm does not. This differentiation is crucial for understanding their applications in graph theory and network analysis.

PREREQUISITES
  • Understanding of graph theory concepts, particularly directed graphs.
  • Familiarity with shortest path algorithms.
  • Knowledge of weighted graphs and their properties.
  • Basic programming skills to implement algorithms.
NEXT STEPS
  • Study the implementation of Bellman-Ford's algorithm in Python or Java.
  • Explore the differences between Dijkstra's algorithm and Bellman-Ford's algorithm.
  • Learn about graph data structures, such as adjacency lists and matrices.
  • Investigate applications of shortest path algorithms in real-world scenarios, such as network routing.
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Students of computer science, software developers working on graph-related problems, and researchers in network optimization will benefit from this discussion.

Erenjaeger
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In the SPP part of my networks textbook, it refers to Bellman's algorithm but also at times Bellman-Ford's algorithm, is there a difference between the two or is that just the writers of the textbook not being consistent with what they call it?
 
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Hmm. If it computes shortest paths from a single source vertex to all of the other vertices in a weighted digraph I have seen it called both - Bellman-Ford, Bellman.
Bellman did other things for which he was noted. And I know next to nothing about them.

So what is your chapter on about?
 
jim mcnamara said:
Hmm. If it computes shortest paths from a single source vertex to all of the other vertices in a weighted digraph I have seen it called both - Bellman-Ford, Bellman.
Bellman did other things for which he was noted. And I know next to nothing about them.

So what is your chapter on about?
the part I'm referring to is just about shortest path problems, apparently there is a difference between them but I'm not sure what it could be
 

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