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Chapter 10 Chapter 10 m-way B-Tree 10.1 10.1 m-way 10.2 10.2 B-Tree

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- JAVA 2 10.1 10.1 m-way m-way (m-way search tree)? m-way m T T m- way T 1. n, A0, (K1, A1), (K2, A2), , (Kn, An) Ai 0 i n < m Ki 1 i n < m 2. Ki < Ki+1 1 i < n 3. Ai Ki+1 Ki 0 < i < n 4. An Kn A0 K1 5. Ai 0 i n m-way

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- JAVA 3 10.1 10.1 m-way 3-way 12 12, 17, 23, 25, 28, 32, 45, 48, 55, 60,70

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- JAVA 4 10.1 10.1 m-way 3-way 3-way n, A0, (K1, A1), (K2, A2),,(Kn, An) a 2, b, (23, c), (48, d) abcdefgabcdefg 2, b, (23, c),(48, d) 2, 0, (12, 0), (17, 0) 2, e, (28, 0), (32, f) 2, 0, (55, 0), (60, g) 1, 0, (25, 0) 2, 0, (38, 0), (45, 0) 1, 0, (70, 0)

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- JAVA 5 10.1 10.1 m-way 10.1.1 m-way 3-way 5 7 12 6 8 4 3 10 x (1) 5 (2) 7 (3) 12 5, x 5, 7 12, x

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- JAVA 6 10.1 10.1 m-way (4) 6 (5) 8 (6) 4 5, 7 12, x6, x 5, 7 8, 126, x 5, 7 8, 126, x 4, x

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- JAVA 7 10.1 10.1 m-way (7) 3 (8) 10 5, 7 8, 126, x 3,4 5, 7 8, 126, x 3,4 10, X

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- JAVA 8 10.1 10.1 m-way 10.1.2 m-way

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- JAVA 9 10.1 10.1 m-way 3-way 5, 7 8, 126, x 3,4 10, X

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- JAVA 10 10.1 10.1 m-way 3 8 5, 7 8, 126, x 4,X 10, X 5, 7 10, 126, x 4,X

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- JAVA 11 10.1 10.1 m-way 12 7 10 5, 7 10, X6, x 4,X 5, 10 6, x 4,X 5, 6 4,X

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- JAVA 12 10.2 B-tree B-tree order m B-tree m-way 1 m/2 m m/2 -1 m1 ( m/2 m/2 )

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- JAVA 13 10.2 B-tree B-tree of order 3

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- JAVA 14 10.2 B-tree B-tree of order 3 degree 2 3 B-tree of order 3 2-3 tree m=4 2-3-4 tree

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- JAVA 15 10.2 B-tree 10.2.1 B-Tree B-tree X B-tree B-tree P m-1 m-1 order m B-tree m-1

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- JAVA 16 10.2 B-tree B-Tree of order 5

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- JAVA 17 10.2 B-tree 88 j j m1 ( 4 B-Tree of order 5)

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- JAVA 18 10.2 B-tree 98

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- JAVA 19 10.2 B-tree 91

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- JAVA 20 10.2 B-tree 93

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- JAVA 21 10.2 B-tree 99

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- JAVA 22 10.2 B-tree 10.2.2 B-Tree B-Tree 10-4 B-Tree of order 5

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- JAVA 23 10.2 B-tree p p X p m / 21 (2 m 5)

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- JAVA 24 10.2 B-tree p X p m / 21 (2 ) B-Tree

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- JAVA 25 10.2 B-tree

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- JAVA 26 10.2 B-tree

Slide 27

- JAVA 27 10.2 B-tree

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- JAVA 28 10.2 B-tree

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- JAVA 29 10.2 B-tree

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- JAVA 30 10.2 B-tree

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- JAVA 31 10.2 B-tree

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- JAVA 32 10.2 B-tree