Reflection positivity, rank connectivity, and homomorphism of graphs
| dc.creator | Freedman, M. | |
| dc.creator | Lovasz, L. | |
| dc.creator | Schrijver, A. | |
| dc.date | 2004-04-26 | |
| dc.date.accessioned | 2026-07-07T05:07:44Z | |
| dc.date.available | 2026-07-07T05:07:44Z | |
| dc.description | 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 models. | |
| dc.description | 17 pages Latex | |
| dc.identifier | https://arxiv.org/abs/math/0404468 | |
| dc.identifier | http://arxiv.org/abs/math/0404468 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70974 | |
| dc.subject | Combinatorics | |
| dc.subject | Mathematical Physics | |
| dc.subject | 05C99 (Primary), 82B99 (Secondary) | |
| dc.title | Reflection positivity, rank connectivity, and homomorphism of graphs | |
| dc.type | text |