Why use Dijkstra’s Algorithm if Breadth First Search (BFS) can do the same thing faster?

by

Dijkstra allows assigning distances other than 1 for each step. For example, in routing the distances (or weights) could be assigned by speed, cost, preference, etc. The algorithm then gives you the shortest path from your source to every node in the traversed graph.

Meanwhile BFS basically just expands the search by one “step” (link, edge, whatever you want to call it in your application) on every iteration, which happens to have the effect of finding the smallest number of steps it takes to get to any given node from your source (“root”).

More Related Contents:

  1. Complete graph with only two possible costs. What’s the shortest path’s cost from 0 to N – 1
  2. Finding all the shortest paths between two nodes in unweighted undirected graph
  3. How does Dijkstra’s Algorithm and A-Star compare?
  4. Find cycle of shortest length in a directed graph with positive weights
  5. graph – Dijkstra for The Single-Source Longest Path
  6. How to find the number of different shortest paths between two vertices, in directed graph and with linear-time?
  7. Find all paths between two graph nodes
  8. Cycles in an Undirected Graph
  9. Breadth First Vs Depth First
  10. Why doesn’t Dijkstra’s algorithm work for negative weight edges?
  11. Millions of 3D points: How to find the 10 of them closest to a given point?
  12. Find the shortest path in a graph which visits certain nodes
  13. How to trace the path in a Breadth-First Search?
  14. Graph auto-layout algorithm
  15. Find connected components in a graph [closed]
  16. What are the practical factors to consider when choosing between Depth-First Search (DFS) and Breadth-First Search (BFS)? [closed]
  17. Algorithm for “nice” grid line intervals on a graph
  18. How to implement depth first search for graph with a non-recursive approach
  19. Longest acyclic path in a directed unweighted graph
  20. help in the Donalds B. Johnson’s algorithm, i cannot understand the pseudo code (PART II)
  21. Why is the time complexity of both DFS and BFS O( V + E )
  22. What algorithm to use to determine minimum number of actions required to get the system to “Zero” state?
  23. Why DFS and not BFS for finding cycle in graphs
  24. Why does Dijkstra’s algorithm use decrease-key?
  25. Why is depth-first search claimed to be space efficient?
  26. Planar Graph Layouts
  27. Explanation of Algorithm for finding articulation points or cut vertices of a graph
  28. Bridges in a connected graph
  29. Finding connected components of adjacency matrix graph
  30. Appointment scheduling algorithm (N people with N free-busy slots, constraint-satisfaction)

Leave a Comment