Shortest path algorithms sit at the heart of modern graph theory and many of the systems that move people, data, and goods around the world. After nearly seventy years of relying on the same classic ...

The All-Pairs Shortest Paths Problem, Seeking the Shortest Distance Between Every Node Pair in a Graph, is Efficiently Solved by Johnson's Algorithm for All Pairs of a Vertext, Bellman-Ford for ...

The original version of this story appeared in Quanta Magazine. If you want to solve a tricky problem, it often helps to get organized. You might, for example, break the problem into pieces and tackle ...

Can you imagine the imprint a four-dimensional hexagon might leave as it passes through your three-dimensional kitchen table? Probably not, but some people can. One such person was mathematician ...

Abstract: Shortest path mining is one of the classic problems in graph theory. How to design an efficient multi-source shortest paths mining algorithm has practical significance. In this article, an ...

Finding the shortest path in a network is a classical problem, and a variety of search strategies have been proposed to solve it. In this paper, we review traditional approaches for finding shortest ...

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 ...

An illustration of a magnifying glass. An illustration of a magnifying glass.

Dijkstra’s algorithm is great as long as we have no negative weight edges in our graph. But there are many problems for which it is natural to represent weights with positive and negative values—gains ...

Dominik Bošnjak is a freelance writer from Croatia. He has been writing about games for as long as he can remember and began doing so professionally circa 2010. If he was forced to pick a favorite ...

You could literally see the director gritting his teeth through this. Grinding Gears Games has made a monumental announcement, but there’s a good news bad news side to it. They made the announcement ...