Lattice Embeddings

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


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.


Convex Hull Automorphism Group Lattice Dimension Maximum Match Isometric Embedding 
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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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