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:
“It’s [motherhood] the biggest on-the-job- training program in existence today.”
—Erma Bombeck (20th century)
“Nothing exists except by virtue of a disequilibrium, an injustice. All existence is a theft paid for by other existences; no life flowers except on a cemetery.”
—Rémy De Gourmont (1858–1915)
“When I think of God, when I think of him as existent, and when I believe him to be existent, my idea of him neither increases nor diminishes. But as it is certain there is a great difference betwixt the simple conception of the existence of an object, and the belief of it, and as this difference lies not in the parts or composition of the idea which we conceive; it follows, that it must lie in the manner in which we conceive it.”
—David Hume (1711–1776)