Longeing piece of twine or rope, though for a very skittish young horse they also can be thrown up over the top of the saddle and tied down in that fashion. A surcingle or roller is a padded band that straps around the horse's girth area, and has rings around on its side for side reins, or long reins or other training equipment, such as an overcheck. It may also be used on a young horse to get it used to girth pressure. It may be used with or without an English saddle underneath. Side reins are usually used for more
Girth (graph theory) graph is the unique 5-cage (it is the smallest cubic graph of girth 5), the Heawood graph is the unique 6-cage, the McGee graph is the unique 7-cage and the Tutte eight cage is the unique 8-cage. There may exist multiple cages for a given girth. For instance there are three nonisomorphic 10-cages, each with 70 vertices: the Balaban 10-cage, the Harries graph and the Harries–Wong graph. For any positive integers and , there exists a graph with girth at least and chromatic number at least ; for instance, the Grötzsch graph is triangle-free and has chromatic number 4, and