# Graph Coloring Problem

Not what you're looking for? Search our solutions OR ask your own Custom question.

Please use words to describe the solution process:

Let G be a graph with n vertices that is not a complete graph. Prove that x (G) < n

HINT: If G does not contain k3 as a subgraph, then every face must have degree at least 4.

*(Please see attachment for proper symbols).

Â© BrainMass Inc. brainmass.com December 24, 2021, 5:07 pm ad1c9bdddfhttps://brainmass.com/math/graphs-and-functions/complete-graph-problem-29709

#### Solution Summary

A graph colouring problem is solved and the solution is discussed. The solution is well presented.

$2.49