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Some inequalities for partial orders

✍ Scribed by E. C. Milner; Z. S. Wang; B. Y. Li


Publisher
Springer Netherlands
Year
1987
Tongue
English
Weight
768 KB
Volume
3
Category
Article
ISSN
0167-8094

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Inequalities for the number of monotonic
✍ Jacqueline W Daykin πŸ“‚ Article πŸ“… 1986 πŸ› Elsevier Science 🌐 English βš– 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