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Data-Intensive Computing Systems: B-Tree Insertion and Deletion Operations

Learn about insertion and deletion operations in B-trees, including splitting leaf and internal nodes, redistributing keys, and merging nodes.

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Data-Intensive Computing Systems: B-Tree Insertion and Deletion Operations

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  1. CPS216: Data-intensive Computing Systems Operators for Data Access (contd.) ShivnathBabu

  2. Insertion in a B-Tree n = 2 49 36 49 15 Insert: 62

  3. Insertion in a B-Tree n = 2 49 36 49 62 15 Insert: 62

  4. Insertion in a B-Tree n = 2 49 36 49 62 15 Insert: 50

  5. Insertion in a B-Tree n = 2 49 62 36 49 50 62 15 Insert: 50

  6. Insertion in a B-Tree n = 2 49 62 36 49 50 62 15 Insert: 75

  7. Insertion in a B-Tree n = 2 49 62 36 49 50 62 75 15 Insert: 75

  8. Insertion

  9. Insertion

  10. Insertion

  11. Insertion

  12. Insertion

  13. Insertion

  14. Insertion

  15. Insertion

  16. Insertion

  17. Insertion

  18. Insertion

  19. Insertion: Primitives • Inserting into a leaf node • Splitting a leaf node • Splitting an internal node • Splitting root node

  20. Inserting into a Leaf Node 58 54 57 60 62

  21. Inserting into a Leaf Node 58 54 57 60 62

  22. Inserting into a Leaf Node 58 54 57 58 60 62

  23. Splitting a Leaf Node 61 54 66 54 57 58 60 62

  24. Splitting a Leaf Node 61 54 66 54 57 58 60 62

  25. Splitting a Leaf Node 61 54 66 54 57 58 60 61 62

  26. Splitting a Leaf Node 59 61 54 66 54 57 58 60 61 62

  27. Splitting a Leaf Node 61 54 59 66 54 57 58 60 61 62

  28. Splitting an Internal Node … 21 99 … 59 40 54 66 74 84 [54, 59) [ 59, 66) [66,74)

  29. Splitting an Internal Node … 21 99 … 59 40 54 66 74 84 [54, 59) [ 59, 66) [66,74)

  30. Splitting an Internal Node 66 … 21 99 … [66, 99) [21,66) 40 54 59 74 84 [54, 59) [ 59, 66) [66,74)

  31. Splitting the Root 59 40 54 66 74 84 [54, 59) [ 59, 66) [66,74)

  32. Splitting the Root 59 40 54 66 74 84 [54, 59) [ 59, 66) [66,74)

  33. Splitting the Root 66 40 54 59 74 84 [54, 59) [ 59, 66) [66,74)

  34. Deletion

  35. Deletion redistribute

  36. Deletion

  37. Deletion - II

  38. Deletion - II merge

  39. Deletion - II

  40. Deletion - II

  41. Deletion - II

  42. Deletion - II Not needed merge

  43. Deletion - II

  44. Deletion: Primitives • Delete key from a leaf • Redistribute keys between sibling leaves • Merge a leaf into its sibling • Redistribute keys between two sibling internal nodes • Merge an internal node into its sibling

  45. Merge Leaf into Sibling 72 … 85 67 54 58 64 68 72 75

  46. Merge Leaf into Sibling 72 … 85 67 54 58 64 68 75

  47. Merge Leaf into Sibling 72 … 85 67 54 58 64 68 75

  48. Merge Leaf into Sibling 72 … 85 54 58 64 68 75

  49. Merge Internal Node into Sibling … 59 … 41 63 74 48 52 [52, 59) [59,63)

  50. Merge Internal Node into Sibling … 59 … 41 48 52 59 63 [52, 59) [59,63)

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