Graph algorithms and spanners have emerged as a critical area of research in computer science, underpinning both theoretical advances and practical applications such as network design, routing ...

A puzzle that has long flummoxed computers and the scientists who program them has suddenly become far more manageable. A new algorithm efficiently solves the graph isomorphism problem, computer ...

A professor has helped create a powerful new algorithm that uncovers hidden patterns in complex networks, with potential uses in fraud detection, biology and knowledge discovery. University of ...

This is a preview. Log in through your library . Abstract We obtain a sharp result that for any even 𝑛 ≥ 34, every {𝐷𝑛, 𝐷𝑛+1}-regular graph of order 𝑛 contains [𝑛/4] disjoint perfect matchings, ...

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 ...

Back in the hazy olden days of the pre-2000s, navigating between two locations generally required someone to whip out a paper map and painstakingly figure out the most optimal route between those ...

Graphs are everywhere. In discrete mathematics, they are structures that show the connections between points, much like a ...

With the rapid development of mobile networks, location-based services have become deeply embedded in people's daily lives. Although the k-NN search problem has obtained a lot of research results, the ...

Two computer scientists found — in the unlikeliest of places — just the idea they needed to make a big leap in graph theory. This past October, as Jacob Holm and Eva Rotenberg were thumbing through a ...