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(Ds+alg) 5
- 1. Data Structure GRAPH 1 5 Prepared by: Mir Omranudin Abhar Email : MirOmran@Gamil.com Spring , 2019
- 2. 2 Graph β’ Non-Linear Data Structure β’ Non- Primitive Data Structure β’ Dynamic Data Structure
- 6. Graph 6
- 7. Graph-Type 7
- 9. Graph- Complete Graph (Undirected ) 9 π‘ππ‘ππ ππππ = π£(π£ β 1) 2
- 10. Graph- Complete Graph (Directed ) 10 π‘ππ‘ππ ππππ = π£(π£ β 1)
- 12. Graph- Adjacent 12 πΈπππ β π΅, π· πππππππ‘ β (π΅, π·)
- 13. Graph- Simple ( Path ) 13 Simple path: πβπ πππ‘β π€ππ‘β ππ ππππππ‘πππ π£πππ‘ππππ πππ‘β β (π΅, π·, πΆ, π΄)
- 14. Graph- Cycle ( Path ) 14 Cycle: π πππππ πππ‘β, ππ₯ππππ‘ π‘βππ‘ π‘βπ πππ π‘ π£πππ‘ππ₯ ππ π‘βπ π πππ ππ π‘βπ ππππ π‘ π£πππ‘ππ₯ πππ‘β β (π΅, π·, πΆ, π΄, π΅)
- 15. Graph- (Connected & Non-Connected) 15 Non Connected Graph Connected Graph Strongly Connected
- 16. Graph- (Representation) - Matrix 16
- 17. Graph- (Representation) - Matrix 17
- 18. Graph- Adjacency Matrix Representation of Graph 18
- 19. Graph- Adjacency List Representation of Graph 19
- 20. Graph- Adjacency List Representation of Graph 20
- 21. Graph- Adjacency List Representation of Graph 21
- 22. Graph- Traversal Algorithm 22 β’ BFS (Breath First Search) β’ DFS (Depth First Search)
- 23. Breadth first search (BFS) 23 Queue Data Structure : First in First Out
- 24. Breadth first search (BFS) 24 Time Complexity : O(bd) Space Complexity : O(bd ) b : β«Ψ§Ϊ©Ψ«Ψ±β¬ β«ΨΨ―β¬ childe Node β«Ϊ©Ωβ¬ β«ΩΨ§Ϋβ¬ parent Node β«Ψ―Ψ§Ψ΄ΨͺΩβ¬ β«Ω ΫΨͺΩΨ§ΩΨ―β¬ β«Ψ¨Ψ§Ψ΄Ψ―β¬ . d : β«Ϊ©Ω ΨͺΨ±ΫΩβ¬ β«ΨͺΨΉΨ―Ψ§Ψ―β¬ level β«Ψ¨Ωβ¬ β«Ψ±Ψ³ΫΨ―Ωβ¬ β«Ψ¨Ψ±Ψ§Ϋβ¬ node β«ΫΪ©β¬ β«Ψ―Ψ±β¬ β«ΩΨ―Ωβ¬ tree .
- 25. Breadth first search (BFS) β Example[ 1 ] 25 Step: 1 BFS
- 26. Breadth first search (BFS) β Example[ 1 ] 26 Step: 2 BFS
- 27. Breadth first search (BFS) β Example[ 1 ] 27 Step: 3 BFS
- 28. Breadth first search (BFS) β Example[ 1 ] 28 Step: 4 BFS
- 29. Breadth first search (BFS) β Example[ 1 ] 29 Step: 5 BFS
- 30. Breadth first search (BFS) β Example[ 1 ] 30 Step: 6 BFS
- 31. Breadth first search (BFS) β Example[ 1 ] 31 Step: 7 BFS
- 32. Breadth first search (BFS) β Example[ 1 ] 32 Step: 8 BFS
- 33. Breadth first search (BFS) β Example[ 2 ] 33 BFS
- 34. Breadth first search (BFS) β Example[ 3 ] 34 BFS
- 35. Depth first search (DFS) 35 Stack Data Structure : Last in First Out
- 36. Depth first search (DFS) 36 Time Complexity : O(bm) Space Complexity : O(b ) b : β«Ψ§Ϊ©Ψ«Ψ±β¬ β«ΨΨ―β¬ childe Node β«Ϊ©Ωβ¬ β«ΩΨ§Ϋβ¬ parent Node β«Ψ―Ψ§Ψ΄ΨͺΩβ¬ β«Ω ΫΨͺΩΨ§ΩΨ―β¬ β«Ψ¨Ψ§Ψ΄Ψ―β¬ . m : β«ΨͺΩ Ψ§Ω β¬ β«Ω Ψ¬Ω ΩΨΉβ¬ level β«ΫΪ©β¬ β«Ψ―Ψ±β¬ β«ΩΨ§β¬ tree .
- 37. Depth first search(DFS) β Example[ 1 ] 37 Step: 1 DFS
- 38. Depth first search(DFS) β Example[ 1 ] 38 Step: 2 DFS
- 39. Depth first search(DFS) β Example[ 1 ] 39 Step: 3 DFS
- 40. Depth first search(DFS) β Example[ 1 ] 40 Step: 4 DFS
- 41. Depth first search(DFS) β Example[ 1 ] 41 Step: 5 DFS
- 42. Depth first search(DFS) β Example[ 1 ] 42 Step: 6 DFS
- 43. Depth first search(DFS) β Example[ 1 ] 43 Step: 7 DFS
- 44. Depth first search(DFS) β Example[ 1 ] 44 Step: 8 DFS
- 45. Depth first search(DFS) β Example[ 1 ] 45 Step: 9 DFS
- 46. Depth first search(DFS) β Example[ 2 ] 46 DFS
- 47. Depth first search(DFS) β Example[ 3 ] 47 DFS
- 48. Compare (BFS & DFS) β example(1) 48
- 49. Compare (BFS & DFS) β example(2) 49
- 50. Question .1 https://www.rollapp.com/ β«ΩΩ Ψ§ΫΨ―β¬ β«ΨͺΨΩΫΩβ¬ β«Ψ³Ψ§ΫΨͺβ¬ β«Ψ§ΫΩβ¬ β«Ψ¨Ωβ¬ β«Ψ§Ψ±ΨͺΨ¨Ψ§Ψ·β¬ β«Ψ―Ψ±β¬ β«Ψβ¬ .2 Big Data β«ΪΫΨ³Ψͺβ¬ , β«ΩΩ Ψ§ΫΨ―Ψβ¬ β«ΨͺΨΩΫΩβ¬ .3 β«Ψ§ΩΨ±Ψ―Ωβ¬ β«Ψ¨Ψ―Ψ³Ψͺβ¬ β«Ψ¨Ψ±Ψ§Ϋβ¬ value β«Ϋβ¬ β«ΩΨ§β¬ miss β«Ψ―Ψ±β¬ β«Ψ΄Ψ―Ωβ¬ database β«ΩΨ§β¬ β«Ψ§ΩΪ―ΩΨ±ΫΨͺΩ β¬ β«Ϊ©Ψ―Ψ§Ω β¬ β«Ψ§Ψ²β¬ β«Ω ΫΨ΄ΩΨ―β¬ β«Ψ§Ψ³ΨͺΩΨ§Ψ―Ωβ¬ β«Ψβ¬ 50