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
Matroid girth Matroid girth In matroid theory, a mathematical discipline, the girth of a matroid is the size of its smallest circuit or dependent set. The cogirth of a matroid is the girth of its dual matroid. Matroid girth generalizes the notion of the shortest cycle in a graph, the edge connectivity of a graph, Hall sets in bipartite graphs, even sets in families of sets, and general position of point sets. It is hard to compute, but fixed-parameter tractable for linear matroids when parameterized both by the matroid rank and the field size of a linear representation. The "girth" terminology generalizes