The document discusses different types of multi-way search trees, including 2-3 trees, 2-4 trees, and B-trees. 2-3 trees and 2-4 trees allow nodes to have more than two children, up to three children for 2-3 trees and four children for 2-4 trees. B-trees generalize this to allow nodes to have up to m children, where operations aim to keep the number of children between m/2 and m. The document covers insertion and removal operations for these different tree structures.

1. Chapter 16 Multi-way Search Trees

7. FIGURE 16.1 A 2-3 tree

10. FIGURE 16.2 Inserting 27

13. FIGURE 16.3 Inserting 32

15. FIGURE 16.4 Inserting 57

16. FIGURE 16.5 Inserting 25

19. FIGURE 16.6 Removal from a 2-3 tree (case 1)

22. FIGURE 16.7 Removal from a 2-3 tree (case 2.1)

24. FIGURE 16.8 Removal from a 2-3 tree (case 2.2)

26. FIGURE 16.9 Removal from a 2-3 tree (case 2.3)

28. FIGURE 16.10 Removal from a 2-3 tree (case 2.4)

30. FIGURE 16.11 Removal from a 2-3 tree (case 3)

32. FIGURE 16.12 Insertions into a 2-4 tree

33. FIGURE 16.13 Removals from a 2-4 tree

36. FIGURE 16.14 A B-tree of order 6

42. FIGURE 16.15 A B+-tree of order 6