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 ...

This algorithm is guaranteed to find the shortest path, if it exists, in a weighted graph with non-negative edge weights. It is also easy to implement, using a priority queue and a simple loop.

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 ...

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 ...

In algorithms, as in life, negativity can be a drag. Consider the problem of finding the shortest path between two points on a graph — a network of nodes connected by links, or edges. Often, these ...

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 ...