Abstract
There exists a close relation between the Ferrers-dimension of a context and the order dimension of the appropriate concept lattice [4]. Based on this fact we will introduce Ferrers-Graphs on contexts and show how they characterize planar concept lattices.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Baker, K.A., Fishburn, P., Roberts, F.S.: Partial Orders of Dimension 2. Networks 2, 11–28 (1971)
Birkhoff, G.: Lattice Theory, 3rd edn. Amer. Math. Soc., New York (1967)
Dushnik, B., Miller, E.W.: Partially Ordered Sets. Amer. J. Math. 63, 600–610 (1941)
Ganter, B., Wille, R.: Formal Concept Analysis. Springer, Heidelberg (1999)
Private communication with B. Ganter
Reuter, K.: Removing Critical Pairs. Preprint, no. 1241, TU Darmstadt (1989)
Zschalig, C.: Planarity of Lattices - An approach based on attribute additivity. In: Ganter, B., Godin, R. (eds.) ICFCA 2005. LNCS (LNAI), vol. 3403, pp. 391–402. Springer, Heidelberg (2005)
Zschalig, C.: Characterizing Planar Lattices Using Left-relations. In: Missaoui, R., Schmidt, J. (eds.) Formal Concept Analysis. LNCS (LNAI), vol. 3874, pp. 280–290. Springer, Heidelberg (2006)
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 2007 Springer Berlin Heidelberg
About this paper
Cite this paper
Zschalig, C. (2007). Bipartite Ferrers-Graphs and Planar Concept Lattices. In: Kuznetsov, S.O., Schmidt, S. (eds) Formal Concept Analysis. ICFCA 2007. Lecture Notes in Computer Science(), vol 4390. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-70901-5_20
Download citation
DOI: https://doi.org/10.1007/978-3-540-70901-5_20
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-70828-5
Online ISBN: 978-3-540-70901-5
eBook Packages: Computer ScienceComputer Science (R0)