Here is a problem I'm working on. Say you have a weighted, directed graph with n vertices and m edges, and you want to find the shortest path from s to all other vertices, *but* you can only use some ...

I'm sitting here, and doing some homework, flow networks. And a question lead me to think, how to determine if a shortest-path is unique (I want to know is a min-cut is unique).<BR><BR>This is ...

When Edsger W. Dijkstra published his algorithm in 1959, computer networks were barely a thing. The algorithm in question found the shortest path between any two nodes on a graph, with a variant ...

There is a new sorting algorithm a deterministic O(m log2/3 n)-time algorithm for single-source shortest paths (SSSP) on directed graphs with real non-negative edge weights in the comparison-addition ...

Why is a straight line always the shortest path between two points? 📐 This video explains the result using a variational approach, showing how minimizing distance leads naturally to a straight line ...