The study of perfect codes within Cayley graphs thus bridges abstract algebra, combinatorics, and information theory, revealing insights into symmetry, network reliability, and efficient data ...

Perfect codes, originally conceived in coding theory as optimal error-correcting codes, are subsets of vertices that partition a graph in such a way that every vertex lies at a fixed distance ...

As summer winds down, many of us in continental Europe are heading back north. The long return journeys from the beaches of ...