Existence
It is well known that the necessary and sufficient conditions for a regular graph of order to exist are that and that is even. In such case it is easy to construct regular graphs by considering appropriate parameters for circulant graphs.
Read more about this topic: Regular Graph
Famous quotes containing the word existence:
“However incoherent a human existence may be, human unity is not bothered by it.”
—Charles Baudelaire (1821–1867)
“Question with boldness even the existence of a God; because, if there be one, he must more approve of the homage of reason, than that of blind-folded fear.”
—Thomas Jefferson (1743–1826)
“... my whole existence is governed by abstract ideas.... the ideal must be preserved regardless of fact.”
—Mary Corinna Putnam (1842–1906)