Abstract: Graph theory is a powerful tool for addressing problems involving discrete structures, such as determining the shortest length of connected river networks or the shortest distance between ...

In a world run by computers, there is one algorithm that stands above all the rest. It powers search engines, encrypts your data, guides rockets, runs simulations, and makes the modern digital ...

Descriptive set theorists study the niche mathematics of infinity. Now, they’ve shown that their problems can be rewritten in the concrete language of algorithms. All of modern mathematics is built on ...

"We have demonstrated that it is impossible to describe all aspects of physical reality using a computational theory of quantum gravity," says Dr. Faizal. "Therefore, no physically complete and ...

Imagine a town with two widget merchants. Customers prefer cheaper widgets, so the merchants must compete to set the lowest price. Unhappy with their meager profits, they meet one night in a ...

I believe that every person has a superpower. Some lead with instinct, others with precision. Some ignite ideas, others build the systems that make those ideas real. The trick — in business, in ...

Scanning the crowd at a fancy soiree may reveal a wide array of neckties, each fastened with a highly complex mathematical object masquerading as fashion. An entire field of mathematics is devoted to ...

A fast method is presented for finding a fundamental set of cycles for an undirected finite graph. A spanning tree is grown and the vertices examined in turn, unexamined vertices being stored in a ...

Jane JaeYeon Pyo, a third-year Tepper School of Business doctoral student, has developed a way to measure the distances between financial statements and a novel method of interpreting them, offering a ...