Graph theory examines mathematical structures in which objects are represented as vertices connected by edges. It provides the language and tools to model networks in computer science, biology, social ...

Graph labeling and colouring constitute a vibrant area of combinatorial mathematics concerned with the systematic assignment of discrete labels or colours to graph elements—typically vertices, edges ...

A theorem for coloring a large class of “perfect” mathematical networks could ease the way for a long-sought general coloring proof. Four years ago, the mathematician Maria Chudnovsky faced an all-too ...

Six Hollywood stars form a social group that has very special characteristics. Every distinct pair of stars in the group ...