The unique games conjecture states that for every sufficiently small pair of constants ε, δ > 0, there exists a constant k such that the following promise problem (Lyes, Lno) is NP-hard:
- Lyes = {G: the value of G is at least 1 − δ}
- Lno = {G: the value of G is at most ε}
where G is a unique game whose answers come from a set of size k.
Read more about Unique Games Conjecture: Relevance, Discussion and Alternatives
Famous quotes containing the words unique, games and/or conjecture:
“... a unique endeavour
To bring to bloom the million-petalled flower
Of being here.”
—Philip Larkin (1922–1986)
“Criticism occupies the lowest place in the literary hierarchy: as regards form, almost always; and as regards moral value, incontestably. It comes after rhyming games and acrostics, which at least require a certain inventiveness.”
—Gustave Flaubert (1821–1880)
“What these perplexities of my uncle Toby were,—’tis impossible for you to guess;Mif you could,—I should blush ... as an author; inasmuch as I set no small store by myself upon this very account, that my reader has never yet been able to guess at any thing. And ... if I thought you was able to form the least ... conjecture to yourself, of what was to come in the next page,—I would tear it out of my book.”
—Laurence Sterne (1713–1768)