(| |time since this happens | timesthe complexity of the first step is (| | over the course of running the algorithm the rest of the steps consider those edges adjacent to current since the number of edges of any vertex in simpleundirected graph will always be less than | |the rest of the algorithm runs in less than (| | time sothe complexity of dijkstra' algorithm is (| | assuming that the first step takes (| |to find the next current vertex it turns out that selecting the next current can be done in (log| |time if we use priority queue for our unvisited set priority queues and their implementation are discussed in chap using priority queuedijkstra' algorithm will run in (| |log| |time graph representations how graphg ( , )is represented within program depends on what the program needs to do consider the directed graph in fig the graph itself can be stored in an xml file containing vertices and edges as shown in sect weighted graph would include weight attribute for each edge in the graph in this xml file format the vertexid is used by the edges to indicate which vertices they are attached to the labelswhich appear in fig are only labels and are not used within the xml file to associate edges with vertices graph xml file this copy belongs to 'acha