A new mathematical approach using optics helps computers solve larger, more complex optimization problems by reducing computational demands. The framework can be applied to various real-world challenges, including facility placement and data clustering, with potential benefits for a carbon-neutral future.
A team of researchers from Japan Advanced Institute of Science and Technology proved that Dudeney's original solution to the famous dissection problem is the optimal solution. They used a novel approach, including matching diagrams, to show that no dissection between an equilateral triangle and a square can be achieved with three or fe...
Researchers have successfully solved a problem in graph theory that has attracted attention from within the field. The team's research involves packing coloring, which deals with labelling parts of a graph to comply with certain rules and avoid specific conflicts.