자료구조시간복잡도 (1)

Legend

Excellent Good Fair Bad Horrible

자료구조별 시간복잡도 및 공간복잡도

자료구조 시간 복잡도 공간복잡도
  Average Worst Worst
  Access Search Insertion Deletion Access Search Insertion Deletion  
Array O(1) O(n) O(n) O(n) O(1) O(n) O(n) O(n) O(n)
Stack O(n) O(n) O(1) O(1) O(n) O(n) O(1) O(1) O(n)
Singly-Linked List O(n) O(n) O(1) O(1) O(n) O(n) O(1) O(1) O(n)
Doubly-Linked List O(n) O(n) O(1) O(1) O(n) O(n) O(1) O(1) O(n)
Skip List O(log(n)) O(log(n)) O(log(n)) O(log(n)) O(n) O(n) O(n) O(n) O(n log(n))
Hash Table - O(1) O(1) O(1) - O(n) O(n) O(n) O(n)
Binary Search Tree O(log(n)) O(log(n)) O(log(n)) O(log(n)) O(n) O(n) O(n) O(n) O(n)
Cartesian Tree - O(log(n)) O(log(n)) O(log(n)) - O(n) O(n) O(n) O(n)
B-Tree O(log(n)) O(log(n)) O(log(n)) O(log(n)) O(log(n)) O(log(n)) O(log(n)) O(log(n)) O(n)
Red-Black Tree O(log(n)) O(log(n)) O(log(n)) O(log(n)) O(log(n)) O(log(n)) O(log(n)) O(log(n)) O(n)
Splay Tree - O(log(n)) O(log(n)) O(log(n)) - O(log(n)) O(log(n)) O(log(n)) O(n)
AVL Tree O(log(n)) O(log(n)) O(log(n)) O(log(n)) O(log(n)) O(log(n)) O(log(n)) O(log(n)) O(n)

정렬 알고리즘 시간복잡도 및 공간복잡도

알고리즘 시간복잡도 공간복잡도
  Best Average Worst Worst
Quicksort O(n log(n)) O(n log(n)) O(n^2) O(log(n))
Mergesort O(n log(n)) O(n log(n)) O(n log(n)) O(n)
Timsort O(n) O(n log(n)) O(n log(n)) O(n)
Heapsort O(n log(n)) O(n log(n)) O(n log(n)) O(1)
Bubble Sort O(n) O(n^2) O(n^2) O(1)
Insertion Sort O(n) O(n^2) O(n^2) O(1)
Selection Sort O(n^2) O(n^2) O(n^2) O(1)
Shell Sort O(n) O((nlog(n))^2) O((nlog(n))^2) O(1)
Bucket Sort O(n+k) O(n+k) O(n^2) O(n)
Radix Sort O(nk) O(nk) O(nk) O(n+k)

Graph Operations

Node / Edge Management Storage Add Vertex Add Edge Remove Vertex Remove Edge Query
Adjacency list O(|V|+|E|) O(1) O(1) O(|V| + |E|) O(|E|) O(|V|)
Incidence list O(|V|+|E|) O(1) O(1) O(|E|) O(|E|) O(|E|)
Adjacency matrix O(|V|^2) O(|V|^2) O(1) O(|V|^2) O(1) O(1)
Incidence matrix O(|V| ⋅ |E|) O(|V| ⋅ |E|) O(|V| ⋅ |E|) O(|V| ⋅ |E|) O(|V| ⋅ |E|) O(|E|)

Heap Operations

Type 시간복잡도
  Heapify Find Max Extract Max Increase Key Insert Delete Merge
Linked List (sorted) - O(1) O(1) O(n) O(n) O(1) O(m+n)
Linked List (unsorted) - O(n) O(n) O(1) O(1) O(1) O(1)
Binary Heap O(n) O(1) O(log(n)) O(log(n)) O(log(n)) O(log(n)) O(m+n)
Binomial Heap - O(1) O(log(n)) O(log(n)) O(1) O(log(n)) O(log(n))
Fibonacci Heap - O(1) O(log(n)) O(1) O(1) O(log(n)) O(1)