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Lattice Embeddings

  • Sergei Ovchinnikov
Chapter
Part of the Universitext book series (UTX)

Abstract

Any partial cube is isomorphic to an isometric subgraph of an integer lattice (Theorem 6.4). The dimension of this lattice may be much lower than the isometric dimension of the partial cube making lattice representations a valuable tool in visualizing large and infinite partial cubes.

Keywords

Convex Hull Automorphism Group Lattice Dimension Maximum Match Isometric Embedding 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.Department of MathematicsSan Francisco State UniversitySan FranciscoUSA

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