Data Structure Operations Data Structure Time Complexity Average Access Search 0(1) Array Stack o(n) Singly-Linked List (n) Doubly-Linked List (n) Skip List 0(log(n)) Hash Table Binary Search Tree Cartesian Tree B-Tree Red-Black Tree Splay Tree AVL Tree o(n) B o(n) o(n) 0(log(n)) E 0(1) O(log(n)) 0(log(n)) 0(log(n)) O(log(n)) O(log(n)) Insertion O(A) 0(1) 0(1) 0(1) 0(log(n)) 0(1) Deletion o(n) 0(1) 0(1) C O(log(n)) 0(1) Worst Access A o(n) D 0(log(n)) 0(log(n)) O(log(n)) 0(log(n)) 0(log(n)) 0(log(n)) 0(log(n)) 0(log(n)) 0(log(n)) 0(log(n)) 0(log(n)) 0(log(n)) O(log(n)) 0(log(n)) O(log(n)) F O(n) ILL o(n) O(n) O(log(n)) o(n) Search O(n) O(n) O(n) O(n) o(a) O(n) O(n) Insertion Deletion o(n) o(n) 0(1) 0(1) O(n) 0(1) 0(1) O(n) O(n) O(n) 0(1) 0(1) O(n) O(n) O(n) Space Complexity Worst O(n) O(n) o(n) O(n) O(n) 0(log(n)) 0(log(n))] 0(log(n)) O(log(n)) O(log(n)) O(log(n)) O(n) O(log(n)) O(log(n)) O(log(n)) O(n) O(n) 0(log(n)) O(log(n)) 0(log(n)) 0(log(n)) O(n) O(n) O(n) O(A) On log(n)) O(n)

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Question
Fill in the missing fields for Big Oh notation for operations A thru F.
A -
B-
C -
D-
E - I
F -
Transcribed Image Text:Fill in the missing fields for Big Oh notation for operations A thru F. A - B- C - D- E - I F -
Data Structure Operations
Data Structure Time Complexity
Average
Access
0(1)
Array
Stack
O(n)
0(log(n))
0(log(n))
0(log(n))
Search
o(n)
B
o(n)
O(n)
0(log(n))
Singly-Linked List
o(n)
0(1)
Doubly-Linked List 0(n)
0(1)
Skip List
O(log(n))
Hash Table
0(1)
Binary Search Tree O(log(n)) 0(log(n)) D
Cartesian Tree
B-Tree
Red-Black Tree
Splay Tree
AVL Tree
E
0(1)
Insertion Deletion
O(n)
0(1)
0(log(n))
O(n)
0(1)
0(1)
0(1)
O(log(n))
0(log(n)) 0(log(n)) 0(log(n))
0(log(n)) 0(log(n))
0(log(n))
o(log(n))
0(log(n)) 0(log(n)) 0(log(n))
0(log(n)) F
Worst
O(n)
C
o(n)
O(log(n)) O(n)
Access
A
O(n)
O(n)
Search
O(n)
O(n)
O(n)
O(n)
o(n)
O(n)
o(n)
O(n)
Insertion
0(log(n)) 0(log(n))
0(n)
0(1)
0(1)
0(1)
O(n)
O(n)
o(n)
O(n)
Deletion
0(n)
0(1)
0(1)
0(1)
0(n)
O(n)
0(n)
0(n)
Space Complexity
Worst
O(n)
O(n)
O(n)
O(n)
On Log(n))
O(n)
o(n)
O(n)
0(log(n))
0(log(n))
0(log(n))
0(log(n))
0(log(n)) 0(log(n)) O(log(n)) 0(log(n)) 0(log(n)) O(n)
0(log(n)) 0(log(n)) 0(log(n)) O(n)
0(log(n)) 0(log(n)) O(n)
0(log(n)) O(n)
Transcribed Image Text:Data Structure Operations Data Structure Time Complexity Average Access 0(1) Array Stack O(n) 0(log(n)) 0(log(n)) 0(log(n)) Search o(n) B o(n) O(n) 0(log(n)) Singly-Linked List o(n) 0(1) Doubly-Linked List 0(n) 0(1) Skip List O(log(n)) Hash Table 0(1) Binary Search Tree O(log(n)) 0(log(n)) D Cartesian Tree B-Tree Red-Black Tree Splay Tree AVL Tree E 0(1) Insertion Deletion O(n) 0(1) 0(log(n)) O(n) 0(1) 0(1) 0(1) O(log(n)) 0(log(n)) 0(log(n)) 0(log(n)) 0(log(n)) 0(log(n)) 0(log(n)) o(log(n)) 0(log(n)) 0(log(n)) 0(log(n)) 0(log(n)) F Worst O(n) C o(n) O(log(n)) O(n) Access A O(n) O(n) Search O(n) O(n) O(n) O(n) o(n) O(n) o(n) O(n) Insertion 0(log(n)) 0(log(n)) 0(n) 0(1) 0(1) 0(1) O(n) O(n) o(n) O(n) Deletion 0(n) 0(1) 0(1) 0(1) 0(n) O(n) 0(n) 0(n) Space Complexity Worst O(n) O(n) O(n) O(n) On Log(n)) O(n) o(n) O(n) 0(log(n)) 0(log(n)) 0(log(n)) 0(log(n)) 0(log(n)) 0(log(n)) O(log(n)) 0(log(n)) 0(log(n)) O(n) 0(log(n)) 0(log(n)) 0(log(n)) O(n) 0(log(n)) 0(log(n)) O(n) 0(log(n)) O(n)
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