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Graph Algorithms & TraversalsAdvanced LevelStudy Time: 35 mins

Dijkstra Shortest Path Algorithm

Dijkstra's Algorithm finds the shortest path distances from a single source node to all other vertices in a weighted graph with non-negative edge weights.

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Real-world analogy: GPS Navigation System

Priority Queue
Hover over items for details

Finds the fastest driving route from your location to all destinations by continuously expanding the shortest tentative drive times.

  • Priority Queue= Min-heap extracting the node with smallest tentative distance.

Complexity analysis

Scenario Simulator: Dataset Size (N = 500)
Presets:
N = 10N = 10,000
Complexity Curve MapDijkstra Shortest Path: O((V + E) log V) Time
Time (t)Size N (500)N = 500O(N²)O(N log N)O(N)O(log N)O(1)Dijkstra Shortes
Time Steps (N=500)

~4,483 steps (Linearithmic)

O((V + E) log V) Time

Space Footprint

O(V + E) Graph Memory

Memory growth rate as N expands.

Performance Rank
Moderate Tier

Relative efficiency rating for large N.

OperationTime ComplexitySpace Complexity
Min-Heap ImplementationO((V + E) log V)O(V)

Code implementations

function dijkstra(graph, start) {
  const dist = {};
  // priority queue relaxation
  return dist;
}

Real-world applications

Case 01

Google Maps Route Planner

Calculates shortest driving routes.

Case 02

Network Routing Protocols

Powers OSPF internet router path selection.

Interview questions

Topic Knowledge Test & Assessment

10 Questions Assessment

Dijkstra Knowledge & Skill Test

Validate your conceptual understanding, operation mechanics, and core concepts of Dijkstra.