Searching Algorithms Questions Medium
The time complexity of searching in a suffix tree is typically O(m), where m is the length of the pattern being searched. This is because suffix trees are specifically designed for efficient pattern matching and retrieval of substrings.
The search process in a suffix tree involves traversing the tree from the root to the leaf nodes, following the path that matches the pattern being searched. The length of this path is directly proportional to the length of the pattern. Therefore, the time complexity is linearly dependent on the length of the pattern, resulting in O(m) time complexity.
It is important to note that the construction of the suffix tree itself has a time complexity of O(n), where n is the length of the input string. However, once the suffix tree is constructed, the searching process has a time complexity of O(m) for individual pattern searches.