Girth (tack) Girth (tack) A girth, sometimes called a cinch (Western riding), is a piece of equipment used to keep the saddle in place on a horse or other animal. It passes under the barrel of the equine, usually attached to the saddle on both sides by two or three leather straps called billets. Girths are used on Australian and English saddles, while western saddles and many pack saddles have a cinch, which is fastened to the saddle by a single wide leather strap on each side, called a latigo. Although a girth is often enough to keep a well-fitting saddle in
Girth (graph theory) dual graph, and vice versa. These concepts are unified in matroid theory by the girth of a matroid, the size of the smallest dependent set in the matroid. For a graphic matroid, the matroid girth equals the girth of the underlying graph, while for a co-graphic matroid it equals the edge connectivity. Girth (graph theory) In graph theory, the girth of a graph is the length of a shortest cycle contained in the graph. If the graph does not contain any cycles (i.e. it's an acyclic graph), its girth is defined to be infinity. For example, a 4-cycle (square) has