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:
“Sometimes I think that the biggest difference between men and women is that more men need to seek out some terrible lurking thing in existence and hurl themselves upon it.... Women know where it lives but they can let it alone.”
—Russell Hoban (b. 1925)
“What is a novel if not a conviction of our fellow-men’s existence strong enough to take upon itself a form of imagined life clearer than reality and whose accumulated verisimilitude of selected episodes puts to shame the pride of documentary history?”
—Joseph Conrad (1857–1924)
“The settlement of America had its origins in the unsettlement of Europe. America came into existence when the European was already so distant from the ancient ideas and ways of his birthplace that the whole span of the Atlantic did not widen the gulf.”
—Lewis Mumford (1895–1990)