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Dijkstra's Algorithm Weighted Graph . In time of calculation we have ignored the edges direction. While running an algorithm, the weights of the edges have to be added to find the shortest path between the nodes. Solved 8. Use Dijkstra's Algorithm As Described Before Ex from www.chegg.com Dijkstra’s algorithm finds the shortest path in a weighted graph containing only positive edge weights from a single source. Given a weighted graph g, the objective is to find the shortest path from a given source vertex to all other vertices of g. Dijkstra’s algorithm in an undirected graph.