Girth (tack) place, other pieces of equipment are also used in jumping or speed sports such as polo, eventing, show jumping, and fox hunting; or on rough terrain such as trail riding. These include breastplates, overgirths, cruppers, and, on pack saddles, breeching. Studies have shown that, although girths may restrict the movement of the ribcage in the horse, they have no effect on the horse's ability to take in air. Several types of girth are shaped to allow ample room for the elbows. The Balding style is a flat piece of leather cut into three strips which are crossed and folded in
Matroid girth oracle, it is impossible to find the girth using a subexponential number of matroid queries. Similarly, for a real linear matroid of rank , with elements, described by an oracle that gives the orientation of any -tuple of elements, it requires formula_1 oracle queries to determine the girth. Computations using a girth oracle (an oracle that reports the smallest dependent subset of a given set of elements) have also been considered. 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