| 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 |
| OpenURL |
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| Persistent Identifier |
urn:nbn:nl:ui:29-286962 |
| Metadata |
XML |