Geodesic
Edge coloring models and reflection positivity
Szegedy, Balázs1
1Microsoft Research, One Microsoft Way, Redmond, Washington 98052
Journal of the American Mathematical Society, Tome 20 (2007) no. 4, pp. 969-988

Voir la notice de l'article provenant de la source American Mathematical Society

Solving a conjecture of M. H. Freedman, L. Lovász and A. Schrijver, we prove that a graph parameter is edge reflection positive and multiplicative if and only if it can be represented by an edge coloring model.
DOI : 10.1090/S0894-0347-07-00568-1

Szegedy, Balázs  1

1 Microsoft Research, One Microsoft Way, Redmond, Washington 98052 
Szegedy, Balázs. Edge coloring models and reflection positivity. Journal of the American Mathematical Society, Tome 20 (2007) no. 4, pp. 969-988. doi: 10.1090/S0894-0347-07-00568-1
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[1] Atiyah, Michael The geometry and physics of knots 1990

[2] Bochnak, Jacek, Coste, Michel, Roy, Marie-Françoise Real algebraic geometry 1998

[3] Freedman, Michael H., Kitaev, Alexei, Nayak, Chetan, Slingerland, Johannes K., Walker, Kevin, Wang, Zhenghan Universal manifold pairings and positivity Geom. Topol. 2005 2303 2317

[4] Freedman, Michael, Lovász, László, Schrijver, Alexander Reflection positivity, rank connectivity, and homomorphism of graphs J. Amer. Math. Soc. 2007 37 51

[5] Lovász, László The rank of connection matrices and the dimension of graph algebras European J. Combin. 2006 962 970

[6] Lovász, László, Szegedy, Balázs Limits of dense graph sequences J. Combin. Theory Ser. B 2006 933 957

[7] Weyl, Hermann The classical groups 1997

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