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 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