there is an alternative way of implementing dijkstra's algorithm that avoids use of the locator pattern but increases the space used for the priority queue, , from to for a weighted graph, , with vertices and edges. the main idea of this approach is simply to insert a new key-value pair, , each time the value for a vertex, , changes, without ever removing the old key-value pair for . this approach still works, even with multiple copies of each vertex being stored in , since the first copy of a vertex that is removed from is the copy with the smallest key. describe the other changes that would be needed to the description of dijsktra's algorithm for this approach to work. also, what is the running time of dijkstra's algorithm in this approach if we implement the priority queue, , with a heap?

The way these actions are carried out determines how long Dijkstra's algorithm takes to execute.For the min-priority queue, an unsorted array is an option.It takes one time for each insert and decreaseKey action.Time O(q), where q is the current number of vertices in the min-priority queue, is required for each extractMin operation. What is the running time of Dijkstra algorithm?Building a binary minimum heap takes O time (V).The number of decrease key operations is still limited to E at maximum, and each one requires O(logV).Thus, the whole running time is O. (ElogV). We also examine the effectiveness of a Dijkstra's algorithm implementation that employs two cache-efficient priority queues to contribute a little bit of cache-efficiency in undirected networksTo select the following node to examine, Dijkstra's method requires a priority queue.Nodes are placed in the priority queue according to their current total distance, which serves as their "priority."If we later discover a shorter path to the node, the priority of the node can be adjusted with the new total distance. Even if there is a shorter path than the one taken previously, Dijkstra's method does not go back and reevaluate a node after marking it as visited.Therefore, in networks with negative edge weights, Dijkstra's algorithm is unsuccessful. To learn more about  dijkstra's algorithm referhttps://brainly.com/question/14019997#SPJ4