Graph theory is an integral component of algorithm design that underlies sparse matrices, relational databases, and networks. Improving the performance of graph algorithms has direct implications to ...

The algorithm exists in many variants; Dijkstra's original variant found the shortest path between two nodes, but a more common variant fixes a single node as the "source" node and finds shortest ...

Bellman-Ford algorithm So what do we do when we have negative weights? As long as there are no negative cycles in our weighted directed graph we can use the Bellman-Ford algorithm. Like Dijkstra’s ...

Dijkstra’s algorithm was long thought to be the most efficient way to find a graph’s best routes. Researchers have now proved that it’s “universally optimal.” ...

Abstract: To address the limitations of the traditional Dijkstra algorithm in two-dimensional path optimization problems, this article uses ant colony algorithm to optimize the Dijkstra algorithm, ...

The algorithm is named after its inventor, Dutch computer scientist Edsger Dijkstra, and was published in 1959 [14] [15]. Principle of the algorithm The algorithm takes as input a directed or ...

Next, we employ a shortest-path cross-plane scrambling algorithm that utilizes an enhanced Dijkstra algorithm. This algorithm effectively shuffles pixels randomly within each channel of a color image.

A revised approach, often known as the Bellman-Ford algorithm, handles the negative-weight connections correctly, but because it relies on the ability to process nodes, it lacks the raw efficiency of ...