The algorithm takes a graph and an initial node and calculates the shortest path from the initial node to every other node in the graph.
shall be a data.frame with three variables (v1, v2 and w) that contains the edges of the graph (from v1 to v2) with the weight of the edge (w).
shall be a numeric scalar that exist in the graph
Return the shortest path to everyother node from the starting node as a vector.
You can check how the algorithm work on it's page at wikepedia.
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