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http://dx.doi.org/10.4134/BKMS.2009.46.1.079

DIMENSION AND INTERVAL DIMENSION OF CERTAIN BIPARTITE ORDERED SETS  

Bae, Deok-Rak (DEPARTMENT OF MATHEMATICS SOGANG UNIVERSITY)
Lee, Jeh-Gwon (DEPARTMENT OF MATHEMATICS SOGANG UNIVERSITY)
Publication Information
Bulletin of the Korean Mathematical Society / v.46, no.1, 2009 , pp. 79-86 More about this Journal
Abstract
We consider the dimension and interval dimension of bipartite ordered sets and provide a sufficient condition for when the two parameters are equal.
Keywords
bipartite ordered set; dimension; interval dimension; Ferrers dimension;
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  • Reference
1 B. Dushnik and E. Miller, Partially ordered sets, Amer. J. Math. 63 (1941), 600–610.   DOI   ScienceOn
2 K. Reuter, On the dimension of the Cartesian product of relations and orders, Order 6 (1989), no. 3, 277–293.   DOI
3 E. Szpilrajn, Sur l'extension de l'order partiel, Fund. Math. 16 (1930), 386–389.   DOI
4 W. T. Trotter, Stacks and splits of partially ordered sets, Discrete Math. 35 (1981), 229–256.   DOI   ScienceOn
5 R. Wille, Tensorial decomposition of concept lattices, Order 2 (1985), no. 1, 81–95.   DOI