Decades ago, Paul Erdős used randomness to illuminate the vast and weird world of networks. Now mathematicians are making his ...

The primary utility function, find_embedding(), is an implementation of the heuristic algorithm described in [1]. It accepts various optional parameters used to tune the algorithm's execution or ...

Abstract: Many computations in robotics can be dramatically accelerated if the robot configuration space is described as a collection of simple sets. For example, recently developed motion planners ...

Robert Kelly is managing director of XTS Energy LLC, and has more than three decades of experience as a business executive. He is a professor of economics and has raised more than $4.5 billion in ...

Mathematicians recently gathered for a workshop in Canada a to thrash out ideas inspired by a breakthrough a pair of researchers made in 2023 on a conjecture by Paul Erdős. The pair’s success at ...

Abstract: Since its first use by Euler on the problem of the seven bridges of Königsberg, graph theory has shown excellent abilities in solving and unveiling the properties of multiple discrete ...

Graph Neural Networks (GNNs) have demonstrated significant potential as powerful tools for handling graph data in various fields. However, traditional GNNs often encounter limitations in information ...

Mark Twain once wrote, “There are three kinds of lies: lies, damned lies, and statistics.” (He attributed the quip to former British prime minister Benjamin Disraeli, but its true origin is unknown.) ...

Creative Commons (CC): This is a Creative Commons license. Attribution (BY): Credit must be given to the creator. Designing molecular structures with desired chemical properties is an essential task ...

On March 15, intriguing seminar announcements sent rumblings through the field of combinatorics, the mathematical study of counting. Three collaborators planned to give coordinated talks the following ...