Graph Coloring: The process of assigning colours to vertices or edges of a graph so that adjacent elements have distinct colours, commonly used in scheduling and resource allocation problems.

A theorem for coloring a large class of “perfect” mathematical networks could ease the way for a long-sought general coloring proof.

Unfortunately, the graph coloring problem is nearly impossible to answer in full generality. But after decades of effort, a team of mathematicians has managed to characterize one major class of ...

Bhaswar B. Bhattacharya, COLLISION TIMES IN MULTICOLOR URN MODELS AND SEQUENTIAL GRAPH COLORING WITH APPLICATIONS TO DISCRETE LOGARITHMS, The Annals of Applied Probability, Vol. 26, No. 6 (December ...

“Perfect graphs are the graphs that are designed to work well for coloring, so it’s really annoying that we don’t know a good way to color perfect graphs,” said Paul Seymour, a graph theorist also at ...

A graph coloring problem starts with a graph -- a visual representation of a set of objects connected in some way. To solve the problem, each object must be assigned a color, but two objects ...

Fifty years ago, three mathematicians came up with a graph theory problem that they thought they might solve on the spot. A team has finally settled it.