Most articles about Dijkstra algorithm only focus on which data structure should be used to perform the “relaxing” of nodes.
I’m going to use a min-heap which runs on O(m log(n)) I believe.
My real question is what data structure should I used to store the adjacent nodes of each node?
I’m thinking about using an adjacency list because I can find all adjacent nodes on u in O(deg(u)), is this the fastest method?
How will that change the running time of the algorithm?
With Dijkstra’s algorithm you just loop through the list of neighbours of a node once, so a simple array or linked list storing the adjacent nodes (or simply their indices in a global list) at each node (as in an adjacency list) would be sufficient.
How will that change the running time of the algorithm?– in comparison to what? I’m pretty sure the algorithm complexity assumes an adjacency list implementation. The running time isO(edges + vertices * log(vertices)).