Cage may refer to:
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).
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.
In history, prisoners were sometimes kept in a cage. They would sometimes be chained up inside into uncomfortable positions to intensify suffering.
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.
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.
Ethan (or Eitan, Eytan or Etan in Hebrew) is a male given name meaning steadfast, strong, firm, and safe.
For all people and fictional characters with the given name Ethan see Ethan (given name)
Ethan (Hebrew: אֵיתָן, Modern Eytan / Eitan, Tiberian ʾÊṯān ; "Firm") the Ezrahite, is mentioned in the Hebrew Bible. It may be that Ethan was a cymbal-player in King David's court. He authored Psalm 89. Charles Spurgeon theorized that this was the same person as Jeduthun.
Ethan means strong and optimistic, solid and enduring; permanent. The name Ethan appears eight times in the Hebrew Bible (1 Kgs. 4:31, Ps. 89 title, 1 Chr. 2:6 and 2:8, 1 Chr. 6:42 and 6:44, and 1 Chr. 15:17 and 15:19).
He was a standard of wisdom to whom Solomon is compared favorably (I Kings 4:31 KJV).
The characters from the American drama/adventure television series Lost were created by Damon Lindelof and J. J. Abrams. The series follows the lives of plane crash survivors on a mysterious tropical island, after a commercial passenger jet from the fictional Oceanic Airlines crashes somewhere in the South Pacific. Each episode typically features a primary storyline on the island as well as a secondary storyline, a flashback from another point in a character's life.
Out of the 324 people on board Oceanic Flight 815, there are 71 initial survivors (70 humans and one dog) spread across the three sections of the plane crash. The opening season featured 14 regular speaking roles, making it the largest cast in American prime time television when it premiered.
Cage may refer to:
WorldNews.com | 07 Nov 2018
WorldNews.com | 07 Nov 2018
WorldNews.com | 07 Nov 2018
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