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Prim’s Algorithm
By : Garishma Bhatia
Content Layout List
• Minimal Spanning Tree
• Prim’s Algorithm
• Example
• Algorithm
• Analysis
• Complexity
• References
What is Minimum Spanning Tree?
• A spanning tree is a subset of Graph G, which has all the vertices
covered with minimum possible number of edges.
• Hence, a spanning tree does not have cycles and it cannot be
disconnected.
Prim’s Algorithm
• Prim's algorithm is a greedy algorithm that finds a minimum spanning
tree for a weighted undirected graph.
• The algorithm was developed in 1930 by Czech mathematician Vojtěch
Jarník.
• But later rediscovered and republished by computer scientists Robert C.
Prim in 1957 and Edsger W. Dijkstra in 1959.
• Therefore, it is also sometimes called the DJP algorithm, the Prim–
Dijkstra algorithm
Two Content Layout with Table
• First bullet point here
• Second bullet point here
• Third bullet point here
Class Group A Group B
Class 1 82 95
Class 2 76 88
Class 3 84 90
Two Content Layout with SmartArt
Group A
• Task 1
• Task 2
Group B
• Task 1
• Task 2
Group C
• Task 1
• First bullet point here
• Second bullet point here
• Third bullet point here
Add a Slide Title - 1
Add a Slide Title - 2
Add a Slide Title - 3
Add a Slide Title - 4
Add a Slide Title - 5

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PRIM'S ALGORITHM

  • 1. Prim’s Algorithm By : Garishma Bhatia
  • 2. Content Layout List • Minimal Spanning Tree • Prim’s Algorithm • Example • Algorithm • Analysis • Complexity • References
  • 3. What is Minimum Spanning Tree? • A spanning tree is a subset of Graph G, which has all the vertices covered with minimum possible number of edges. • Hence, a spanning tree does not have cycles and it cannot be disconnected.
  • 4. Prim’s Algorithm • Prim's algorithm is a greedy algorithm that finds a minimum spanning tree for a weighted undirected graph. • The algorithm was developed in 1930 by Czech mathematician Vojtěch Jarník. • But later rediscovered and republished by computer scientists Robert C. Prim in 1957 and Edsger W. Dijkstra in 1959. • Therefore, it is also sometimes called the DJP algorithm, the Prim– Dijkstra algorithm
  • 5. Two Content Layout with Table • First bullet point here • Second bullet point here • Third bullet point here Class Group A Group B Class 1 82 95 Class 2 76 88 Class 3 84 90
  • 6. Two Content Layout with SmartArt Group A • Task 1 • Task 2 Group B • Task 1 • Task 2 Group C • Task 1 • First bullet point here • Second bullet point here • Third bullet point here
  • 7. Add a Slide Title - 1
  • 8. Add a Slide Title - 2
  • 9. Add a Slide Title - 3
  • 10.
  • 11. Add a Slide Title - 4
  • 12. Add a Slide Title - 5