The graph coloring problem involves finding a color for each node such that none of its neighbors have that same color. Practical applications of graph coloring include scheduling, register allocation ...

This research topic explores the theoretical foundations and practical applications of graph labeling and coloring problems, both of which are central to modern combinatorics and computer science.

The Welsh-Powell algorithm is a greedy approach to graph vertex coloring. It sorts vertices by their degree in descending order and assigns the smallest possible color to each vertex that does not ...

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 ...

Abstract: The graph coloring problem involves coloring the nodes of a graph using the minimum number of colors such that no two adjacent nodes share the same color. This NP-hard problem has various ...

Four years ago, the mathematician Maria Chudnovsky faced an all-too-common predicament: how to seat 120 wedding guests, some of whom did not get along, at a dozen or so conflict-free tables. Luckily, ...

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 ...

Abstract: Graphics processing units (GPUs) have been increasingly used to accelerate irregular applications such as graph and sparse-matrix computation. Graph coloring is a key building block for many ...

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 ...