The rank of connection matrices and the dimension of graph algebras

dc.creatorLovasz, Laszlo
dc.date2004-08-18
dc.date.accessioned2026-07-07T05:11:20Z
dc.date.available2026-07-07T05:11:20Z
dc.descriptionConnection matrices were introduced by Freedman, Lovasz and Schrijver [1], who used them to characterize graph homomorphism functions. The goal of this note is to determine the exact rank of these matrices. The result can be rephrased in terms of graph algebras (also introduced in [1]. Yet another version proves that if two k-tuples of nodes behave the same way from the point of view of graph homomorphisms, then they are equivalent under the automorphism group.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/math/0408232
dc.identifierhttp://arxiv.org/abs/math/0408232
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72207
dc.subjectCombinatorics
dc.subject05C99
dc.titleThe rank of connection matrices and the dimension of graph algebras
dc.typetext

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