Graph colouring remains a central topic in graph theory, providing the mathematical framework for assigning colours to the elements of a graph under specific constraints. In particular, the colouring ...

Edge colouring is a fundamental concept in graph theory whereby colours are assigned to the edges of a graph such that no two adjacent edges share the same colour. This process is central to numerous ...

Consider an urn model where at each step one of q colors is sampled according to some probability distribution and a ball of that color is placed in an urn. The distribution of assigning balls to urns ...

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 ...

Sierpiftski graphs S(n,3) are the graphs of the Tower of Hanoi puzzle with n disks, while Sierpiftski gasket graphs Sn are the graphs naturally defined by the finite number of iterations that lead to ...

Color can make it easier for people to identify important information, such as legends on an Excel graph. Professional designers learn to use color coding effectively to make websites, applications ...