In radix sort, the process of distributing elements into buckets is known as bucketing. This step is crucial as it groups elements based on the value of the current digit, facilitating subsequent sorting within each bucket.

When considering string compression, it's essential to balance the compression ratio with decompression speed. Achieving a high compression ratio is desirable, but it's equally important to ensure that the decompression process is efficient to retrieve the original data.

The time complexity of searching in a balanced binary search tree like AVL or red-black tree is O(log n), where 'n' is the number of elements in the tree. The balanced structure ensures efficient search operations by halving the search space in each step.

To find the total number of possible combinations, modify the base case of the dynamic programming solution for the coin change problem. Instead of returning the minimum number of coins, adjust it to return the total number of combinations that make up the target amount.

In topological sorting, for every directed edge from vertex u to vertex v, vertex u appears before vertex v in the ordering. This ensures that there is a consistent order of execution for tasks or dependencies.

In DFS, a stack is commonly used to keep track of visited nodes. As the algorithm explores a path as deeply as possible before backtracking, a stack is ideal for maintaining the order of nodes to be visited.

The Edit Distance algorithm is used to measure the similarity between two strings by counting the minimum number of operations (insertions, deletions, or substitutions) required to transform one string into the other. It finds applications in spell checking, DNA sequencing, and plagiarism detection.

In BFS, to avoid infinite loops in graphs with cycles, a queue data structure is used to keep track of visited nodes. The queue ensures that nodes are explored in the order they are discovered, preventing cycles.

The time complexity of DFS in the worst case is O(V + E), where V is the number of vertices and E is the number of edges in the graph. This is because DFS visits each vertex and edge exactly once in the worst case.

To optimize bubble sort, one can implement a flag-based check that stops iterating when no more swaps are needed. This optimization helps in breaking out of the loop early if the array is already sorted, reducing unnecessary iterations and improving the overall efficiency of the algorithm.

The longest common substring problem cannot be efficiently solved using the greedy approach. Greedy algorithms make locally optimal choices, and in this problem, a globally optimal solution requires considering the entire input space, making dynamic programming or other techniques more suitable.

The main advantages of using string compression techniques include improved data storage efficiency, reduced bandwidth usage, and faster data transmission. By eliminating repeated characters, the compressed string requires less space, making it beneficial in scenarios with storage or bandwidth constraints.