Find the monotonic shortest route from s to every other node in a weighted digraph. If the weight of every edge on a route is strictly increasing or strictly declining, the path is monotonic. The route should be straightforward. (no repeated vertices). Hint: First, relax the edges in ascending order to find the best route; then, relax the edges in declining order to find the best path.Find the monotonic shortest route from s to every other node in a weighted digraph. If the weight of every edge on a route is strictly increasing or strictly declining, the path is monotonic. The route should be straightforward. (no repeated vertices). Hint: First, relax the edges in ascending order to find the best route; then, relax the edges in declining order to find the best path.

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Minimum Spanning Tree

A spanning tree is a sub-graph of a connected, undirected graph. It has all the vertices of a graph with the minimum possible number of edges. If a vertex is skipped, then it will not be a spanning tree. The edges of a spanning tree may or may not have weights.