spaceComplexity
P55525
predicate
Indicates the relationship between an algorithm and the amount of memory it requires as a function of input size.
All labels observed (8)
| Label | Occurrences |
|---|---|
| spaceComplexity canonical | 21 |
| spaceComplexityWorstCase | 2 |
| hasSpaceComplexity | 1 |
| hasStorageComplexity | 1 |
| spaceComplexityAuxiliary | 1 |
| spaceComplexityAverageCase | 1 |
| spaceComplexityInPlaceVariants | 1 |
| spaceComplexityTypical | 1 |
Description generation (PDg)
The one-sentence description above was generated by prompting gpt-5.1 with the predicate name and this instruction.
Instruction
Given a predicate that represents a relationship or action between entities, generate a one-sentence description explaining its meaning. # Instructions Focus on describing the relationship, not the entities themselves. # Response Format Begin the description with \' Indicates...\'
Input
Predicate: spaceComplexity
Generated description
Indicates the relationship between an algorithm and the amount of memory it requires as a function of input size.
Sample triples (29)
| Subject | Object |
|---|---|
| Knuth–Morris–Pratt algorithm | O(m) ⓘ |
| Quicksort | O(log n) via predicate surface "spaceComplexityAverageCase" ⓘ |
| Quicksort | O(n) via predicate surface "spaceComplexityWorstCase" ⓘ |
| Thompson's algorithm for regular expression matching | O(m) for NFA simulation ⓘ |
| Viterbi algorithm | O(N T) ⓘ |
| Viterbi algorithm | O(S T) ⓘ |
| union–find data structure | O(n) ⓘ |
| Tarjan's strongly connected components algorithm | O(V) ⓘ |
| Fibonacci search | O(1) ⓘ |
| Boyer–Moore string-search algorithm | O(σ + m) via predicate surface "hasSpaceComplexity" ⓘ |
|
Bidiagonal matrix
linked to:
Bidiagonal
|
O(n) via predicate surface "hasStorageComplexity" ⓘ |
| Rabin–Karp algorithm | O(1) ⓘ |
| Lomuto partition scheme | O(1) auxiliary space ⓘ |
| Merge sort | O(n) via predicate surface "spaceComplexityTypical" ⓘ |
| Merge sort | O(1) via predicate surface "spaceComplexityInPlaceVariants" ⓘ |
| Heapsort | O(1) via predicate surface "spaceComplexityAuxiliary" ⓘ |
| Insertion sort | O(1) via predicate surface "spaceComplexityWorstCase" ⓘ |
| Hoare partition scheme | O(1) ⓘ |
| Gale–Shapley algorithm | O(n^2) ⓘ |
| Aho–Corasick algorithm | O(m * Σ) ⓘ |
| Aho–Corasick algorithm | linear in total pattern length times alphabet size ⓘ |
| sieve of Eratosthenes | O(n) ⓘ |
| forward-backward algorithm | O(T·N) ⓘ |
| Bellman–Ford algorithm | O(V) ⓘ |
| Kosaraju's algorithm | O(V + E) ⓘ |
| Kruskal’s minimum spanning tree algorithm | O(V) ⓘ |
| Dijkstra's shortest path algorithm | O(V + E) ⓘ |
| AVL tree | O(n) ⓘ |
| Prim's minimum spanning tree algorithm | O(V + E) ⓘ |