Chambon Chambon A chambon is a piece of horse tack. It is a strap that runs forward from the bottom of the girth or surcingle, and forks. The forks continue to a ring on either side of the bridle or halter, at the base of the crownpiece. Running through those rings, the forks follow the cheekpieces to the bit. They may attach to the bit or pass through the bit rings and attach to themselves below the horse's neck. A chambon prevents the horse from raising its head beyond a fixed point. Raising the head causes the length of the chambon
Girth (graph theory) repeating the Mycielskian construction used to form the Grötzsch graph produces triangle-free graphs of arbitrarily large chromatic number. Paul Erdős was the first to prove the general result, using the probabilistic method. More precisely, he showed that a random graph on vertices, formed by choosing independently whether to include each edge with probability has, with probability tending to 1 as goes to infinity, at most cycles of length or less, but has no independent set of size Therefore, removing one vertex from each short cycle leaves a smaller graph with girth greater than in which each color class of a