My Favorite Simplicial Complex and Some of Its Applications

  • Herbert E. Scarf
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4858)


I will discuss a specific class of simplicial complexes, K(Y), whose vertices are contained in a set Y ∈ R n . The vertex set is finite or denumerable and satisfies some genericity properties. The complex has been studied for many years under a variety of different names: ordinal bases, primitive sets, the complex of maximal lattice free bodies and most recently, Algebraic Geometers have used the name the Scarf Complex.

Copyright information

© Springer-Verlag Berlin Heidelberg 2007

Authors and Affiliations

  • Herbert E. Scarf
    • 1
  1. 1.Yale University 

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