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:
“Analysis brings no curative powers in its train; it merely makes us conscious of the existence of an evil, which, oddly enough, is consciousness.”
—Henry Miller (1891–1980)
“I came here for one thing only, to try to help national Ireland—and if there is no such thing in existence then the sooner I pay for my illusions the better.”
—Roger Casement (1864–1916)
“It is because everything is relative
That we shall never see in that sphere of pure wisdom and
Entertainment much more than groping shadows of an incomplete
Former existence so close it burns like the mouth that
Closes down over all your effort like the moment
Of death”
—John Ashbery (b. 1927)