Generalized deviations of posets
β Scribed by Harold Simmons
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 1005 KB
- Volume
- 98
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
β¦ Synopsis
Simmons, H., Generalized deviations of posets, Discrete Mathematics 98 (1991) 123-139. The deviation and co-deviation of a poset (Lemonnier (1972)) has been generalized by Pouzet and Zaguia (1985) and used in Goodearl and Zimmermann-Huisgen (1986) and Lau et al. In this paper these generalizations are put into an appropriate context which is conceptually neater and seems to offer smoother computational facilities.
π SIMILAR VOLUMES
We study posets defined by Stanley as a multiset generalization of Greene's posets of shuffles. Ehrenborg defined a quasi-symmetric function encoding for the flag f-vector, denoted F P , and we determine F P for shuffle posets of multisets, expressing it as a Schur-positive symmetric function. This
Given a poset P as a precedence relation on a set of jobs with processing time vector p, the generalized permutahedron pem(P, p) of P is defined as the convex hull of all job completion time vectors corresponding to a linear extension of P. Thus, the generalized permutahedron allows for the single m
Necessary and sufficient conditions for a finite poset and a finite distributive lattice to have isomorphic posets of meet-irreducible elements are given. Hence, it is proved that every finite partially ordered set with a given poset of meet-irreducibles is order-embeddable into the corresponding fi