Cage

Cage may refer to:

Technology

Cage (graph theory)

In the mathematical area of graph theory, a cage is a regular graph that has as few vertices as possible for its girth.

Formally, an (r,g)-graph is defined to be a graph in which each vertex has exactly r neighbors, and in which the shortest cycle has length exactly g. It is known that an (r,g)-graph exists for any combination of r ≥ 2 and g ≥ 3. An (r,g)-cage is an (r,g)-graph with the fewest possible number of vertices, among all (r,g)-graphs.

If a Moore graph exists with degree r and girth g, it must be a cage. Moreover, the bounds on the sizes of Moore graphs generalize to cages: any cage with odd girth g must have at least

vertices, and any cage with even girth g must have at least

vertices. Any (r,g)-graph with exactly this many vertices is by definition a Moore graph and therefore automatically a cage.

There may exist multiple cages for a given combination of r and g. For instance there are three nonisomorphic (3,10)-cages, each with 70 vertices : the Balaban 10-cage, the Harries graph and the Harries–Wong graph. But there is only one (3,11)-cage : the Balaban 11-cage (with 112 vertices).

Cage (enclosure)

A cage is an enclosure made of mesh, bars or wires, used to confine, contain or protect something or someone. A cage can serve many purposes, including keeping an animal in captivity, capturing, and being used for display of an animal at a zoo.

Humans

In history, prisoners were sometimes kept in a cage. They would sometimes be chained up inside into uncomfortable positions to intensify suffering.

History

Cages have been usually been used to capture or trapping a certain life form. For this reason, they've been known as a hunting accessory, often used for poaching animals or simply seizing them.

In captivity

Cages are often used now as a source to confine animals. These provide as a habitat to the animal, and since they've advanced so greatly, they are now specially designed to fit that species of animal. Captive breeds of birds, rodents, reptiles, and even larger animals have also been known to be confined in a cage as a domesticated animal (also known as a pet). Captivity is a common purpose of the cage.

Zoo

A zoo (short for zoological park, zoological garden, or animal park, and also called a menagerie) is a facility in which animals are confined within enclosures, displayed to the public, and in which they may also be bred.

The term zoological garden refers to zoology, the study of animals, a term deriving from the Greek zōon (ζῷον, "animal") and lógos (λóγος, "study"). The abbreviation "zoo" was first used of the London Zoological Gardens, which opened for scientific study in 1828 and to the public in 1857. The number of major animal collections open to the public around the world now exceeds 1,000, around 80 percent of them in cities.

Etymology

London Zoo, which opened in 1826, first called itself a menagerie or "zoological forest," which is short for "Gardens and Menagerie of the Zoological Society of London." The abbreviation "zoo" first appeared in print in the UK around 1847, when it was used for the Clifton Zoo, but it was not until some 20 years later that the shortened form became popular in the song "Walking in the Zoo on Sunday" by music-hall artist Alfred Vance. The term "zoological park" was used for more expansive facilities in Washington, D.C., and the Bronx in New York, which opened in 1891 and 1899 respectively.

Zoo (disambiguation)

A zoo (shortened form of "zoological garden") is a place where animals are exhibited.

Zoo may also apply to:

Art, entertainment, and media

Films

Literature and theatre

Music

Groups and labels

List of The Simple Life episodes

This is a complete list of episodes from the TV series The Simple Life starring Paris Hilton and Nicole Richie. The series included 54 episodes and 2 specials that aired between January 20, 2004 and August 5, 2007 in the United States.

List of seasons

List of episodes

Season 1: 2003–2004

Road Trip: 2004

Interns: 2005

'Till Death Do Us Part: 2006

Goes to Camp: 2007

Specials

External links