JOURNAL BROWSE
Search
Advanced SearchSearch Tips
SOME HOMOGENEITY CLASSES OF POSETS OF HEIGHT 2
facebook(new window)  Pirnt(new window) E-mail(new window) Excel Download
 Title & Authors
SOME HOMOGENEITY CLASSES OF POSETS OF HEIGHT 2
Chae, Gab-Byung; Cheong, Min-Seok; Kim, Sang-Mok;
  PDF(new window)
 Abstract
In this paper, we nd the inclusion relation among four categories of posets, i.e., ideal-homogeneous, tower-homogeneous, quasi-complement-preserved, and complement-preserved posets.
 Keywords
ideal-homogeneous;tower-homogeneous;quasi-complement-preserved poset;complement-preserved poset;
 Language
English
 Cited by
 References
1.
G. Behrendt, Homogeneity in finite ordered sets, Order 10 (1993), no. 1, 65-75. crossref(new window)

2.
B. A. Davey and H. A. Priestley, Introduction to Lattices and Order, Second Edition, Cambridge University Press, 2002.

3.
A. Gardiner, Homogeneity conditions in graphs, J. Combin. Theory Ser. B 24 (1978), no. 3, 301-310. crossref(new window)

4.
J. Y. Hyun, in personal communication.

5.
J. H. Schmerl, Countable homogeneous partially ordered sets, Algebra Universalis 9 (1979), no. 3, 317-321. crossref(new window)

6.
W. T. Trotter, Combinatorics and Partially Ordered sets: Dimension theory, The Johns Hopkins University Press, 1992.