|
Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya Matematika, Mekhanika, Informatika, 2011, Volume 11, Issue 3, Pages 85–94
(Mi vngu90)
|
|
|
|
Lattices of order-convex sets
T. C.-D. Batueva Novosibirsk State University
Abstract:
We give a characterization of the class of lattices isomorphic to convexity lattices of posets of finite length. Besides that, we describe the class of finite lattices isomorphic to convexity lattices of $n$-ary forests for any integer $n > 1$.
Keywords:
lattice, poset, order-convex, length, forest, tree.
Received: 18.02.2011
Citation:
T. C.-D. Batueva, “Lattices of order-convex sets”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 11:3 (2011), 85–94; J. Math. Sci., 195:6 (2013), 771–778
Linking options:
https://www.mathnet.ru/eng/vngu90 https://www.mathnet.ru/eng/vngu/v11/i3/p85
|
Statistics & downloads: |
Abstract page: | 149 | Full-text PDF : | 69 | References: | 42 | First page: | 1 |
|