Solution

• The time complexity of Breadth First Search (BFS) is O(V + E), where V is the number of vertices and E is the number of edges in the graph. This means that the running time of BFS grows linearly with the number of vertices and edges in the graph.
• The time complexity of the Rabin-Karp algorithm is often described as O((n - m + 1)m), where n is the length of the text being searched and m is the length of the pattern being searched for.
• The time complexity of Depth-First Search (DFS) is θ(V + E), where V is the number of vertices and E is the number of edges in the graph. This means that the running time of DFS grows linearly with the number of vertices and edges in the graph.
• The worst-case time complexity of Heap Sort is O(n log n), where n is the number of elements in the input array.
• The worst-case time complexity of Quick Sort is O(n^2), where n is the number of elements in the input array.