The program represents a graph as a matrix of total distances between nodes, and the next node to go to to get from one node to another. The program uses a dynamic programming algorithm to ensure that ...

Dijkstra's algorithm is a popular choice for pathfinding due to its several advantages. This algorithm is guaranteed to find the shortest path, if it exists, in a weighted graph with non-negative ...

This paper presents an algorithm for Shortest Path Tree (SPT) problem. The presented algorithm is an improvement over a previously published work of the authors. The effort is put in to improve the ...

Abstract: Abstract-Breadth First Search (BFS) can calculate the shortest path for un-weighted graphs very efficiently but when it comes to non-negative weighted graphs it fails at a point when a ...

Now a trio of computer scientists has solved this long-standing problem. Their new algorithm, which finds the shortest paths through a graph from a given “source” node to every other node, nearly ...

Shortest Path: The most efficient route between two vertices in a graph, minimising distance, cost or time. Node Cut Set: A subset of vertices whose removal disconnects the graph, used to simplify ...

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 standard Dijkstra stuff, undirected weighted graph (all edges ...