Semidefinite functions on categories

Open Access
Authors
Publication date 2009
Journal The Electronic Journal of Combinatorics
Volume | Issue number 16 | 2
Pages (from-to) R14
Number of pages 16
Organisations
  • Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
Abstract Freedman, Lovász and Schrijver characterized graph parameters that can be represented as the (weighted) number of homomorphisms into a fixed graph. Several extensions of this result have been proved. We use the framework of categories to prove a general theorem of this kind. Similarly as previous results, the characterization uses certain infinite matrices, called connection matrices, which are required to be positive semidefinite.
Document type Article
Downloads
Schrijver-Lovasz-EJC.pdf (Final published version)
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