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Table 1 Time complexity of different applications
| Application | output size | standard CGR | quadtree CGR | Suffix Tree |
|---|---|---|---|---|
| LCE | 1 | O(1) | O(1) | O(1) |
| k-mismatch | N | O(kN) | O(kN) | O(kN) |
| Exact palindromes | N | O(N) | O(N) | O(N) |
| k-mismatch palindromes | N | O(kN) | O(kN) | O(kN) |
| Exact tandem repeats | z | O(N log N + z) | O(N log N + z) | O(N log N + z) |
| k-mismatch tandem repeats | z | O(kN log N + z) | O(kN log N + z) | O(kN log N + z) |
| Longest common suffix | 1 | O(1) | O(1) | O(1) |
| Exact match (MATCHES) | occ | O(N) | O(L + occ) | O(L + occ) |
| Occurrences (COUNT) | 1 | O(N) | O(L + occ) | O(L + occ) |
| Longest common substring | 1 | O(N log N) | O(N log N) | O(N) |
