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The correspondence of monotonic boolean functions to systems of linear inequalities

โœ Scribed by A.I. Zelichenko


Publisher
Elsevier Science
Year
1979
Weight
834 KB
Volume
19
Category
Article
ISSN
0041-5553

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Inequalities for the number of monotonic
โœ Jacqueline W Daykin ๐Ÿ“‚ Article ๐Ÿ“… 1986 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 682 KB

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