2-3 (or B-) Trees, in lieu of Chapter 18

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Presentation transcript:

2-3 (or B-) Trees, in lieu of Chapter 18 Get material from pages 42-51 in http://www.umiacs.umd.edu/users/vishkin/PUBLICATIONS/classnotes.pdf

2-3 tree Search takes O(log n) time

Begin with inset(1). Translate to absorb(12,14)

absorb(C-LEFT,C)

Complete insert(12)

Complexity Insert takes O(log n) time

Delete(4): first discard(4), second discard(B)

Finally discard(F)

Complexity Delete takes O(log n) time

Fig 18.3

Fig 18.2 Disc rotation speed: 7200 RPM, typical Arm movement: few ms. Total access time for data on disc: 3-9 ms., typical Versus access time in RAM: < 100 ns. B-tree objective: to optimize disc access by using the full amount of information retrieved per disc access, i.e., one page. So: Size of 1 node of the B-tree = 1 page