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The FKG Inequality for Partially Ordered Algebras

โœ Scribed by Siddhartha Sahi


Publisher
Springer US
Year
2007
Tongue
English
Weight
257 KB
Volume
21
Category
Article
ISSN
0894-9840

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Let P be a finite poset and let x, y e P. Let C be a finite chain. Define NS(i, j) to be the number of strict order-preserving maps to: P--~C satisfying to(x)=i and to(y)=j. Various inequalities are proved, commencing with Theorem 2: If r, s, t, u, v, w are non-negative integers then NS(r, u + v + w