The primary advantage of selection sort over bubble sort is that it has less data movement. While both have the same time complexity of O(n^2), selection sort performs fewer swaps, making it more efficient in scenarios where minimizing data movement is crucial.

Both Prim's and Kruskal's algorithms have a time complexity of O(n log n), where 'n' is the number of vertices in the graph. This is because they both rely on sorting the edges, and sorting dominates the overall time complexity.

The most efficient approach in this scenario would be to apply Manacher's Algorithm individually to each string. This ensures optimal performance for each string without unnecessary complexities.

The dynamic programming approach to solving the Edit Distance problem involves using a matrix to store precomputed values. By breaking down the problem into subproblems and leveraging the optimal solutions to smaller subproblems, this approach avoids redundant calculations and efficiently finds the minimum edit distance.

The dynamic programming approach for the longest common substring problem typically involves constructing a table to store intermediate results. This table is used to build up solutions to subproblems, enabling efficient computation of the longest common substring.

A* search handles the trade-off by using a weighted sum of cost and heuristic, denoted as f = g + w * h, where 'g' is the actual cost from the start state, 'h' is the heuristic estimate, and 'w' is a weight factor. Adjusting the weight influences the balance between cost and heuristic in the decision-making process.

Recursion and stack data structure are closely related concepts. In recursive function calls, each function call creates a new stack frame, which contains information about the function's parameters, local variables, and return address. This stack-based mechanism allows recursive functions to maintain separate instances of local variables and control flow for each invocation, ensuring proper function execution and memory management. For example, consider the recursive implementation of factorial function, where each recursive call creates a new stack frame until the base case is reached.

When the two strings have different lengths, the Edit Distance algorithm handles the disparity by considering the shorter string's suffix as having additional characters appended to it. This allows for a proper comparison between strings of varying lengths.

In the Ford-Fulkerson algorithm, the residual graph is used to represent the remaining capacity in the network. It is an auxiliary graph that helps track the available capacity for flow augmentation.

In a priority queue, elements are retrieved based on their priority rather than their order of insertion. Elements with higher priority are processed before those with lower priority, allowing for flexible ordering based on specific criteria.