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Reflection positivity, rank connectivity, and homomorphism of graphs (2007)

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Title Reflection positivity, rank connectivity, and homomorphism of graphs
Published in Journal of the American Mathematical Society, Vol. 20, p.37-51. ISSN 08940347.
Author Freedman, M.H.; Lovász, L.; Schrijver, A.
Date 2007
Type article
Abstract Abstract: It is shown that a graph parameter can be realized as the number of homomorphisms into a fixed (weighted) graph if and only if it satisfies two linear algebraic conditions: reflection positivity and exponential rank connectivity. In terms of statistical physics, this can be viewed as a characterization of partition functions of vertex coloring models.
Publication http://dare.uva.nl/record/286962
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Persistent Identifier urn:nbn:nl:ui:29-286962
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