that might find better solutions for the hard optimization problems found after a phase transition occurs. Chayes and Borgs's prior university labors on graph theory and phase transitions have ...

Optimization ... not apply to the gnarlier problems tackled by machine learning, it has caused researchers to reconsider what they know about the technique. “It turns out that we did not have full ...

Result Verification and Optimization: the extracted solution ... Additionally, in graph theory-related problems—such as finding large independent sets—the deployment of the QIRO algorithm ...

A veritable brain teaser. That's how one can safely describe this mathematical problem in the discipline of graph theory. Two mathematicians from the University of Copenhagen's Department of ...

Today, optimization problems are usually solved using one of a number of maximum-flow algorithms, often shortened as max-flow. Max flow models a network by constructing a graph that represents all ...

To those of us who don't deal in graph theory, the most well-known Ramsey problem, r(3,3), is sometimes called "the theorem on friends and strangers" and is explained by way of a party ...

This is the case with an important problem in computer science called "graph isomorphism testing" whereby scientists use ...

"The idea was to write a book for a more general audience illustrating that math can be fun by showing that graph theory can be used to analyze and solve a variety of curious problems," Chartrand says ...