Extending a prior result of Contucci et al. [Comm. Math. Phys. 2013], we determine the free energy of the Potts antiferromagnet on the Erdős–Rényi random graph at all temperatures for average degrees $d\le (2k-1)\ln k - 2 - k^{-1/2}$. In particular, we show that for this regime of $d$ there does not occur a phase transition.
@article{10_37236_5975,
author = {Amin Coja-Oghlan and Nor Jaafari},
title = {On the {Potts} antiferromagnet on random graphs},
journal = {The electronic journal of combinatorics},
year = {2016},
volume = {23},
number = {4},
doi = {10.37236/5975},
zbl = {1351.05203},
url = {http://geodesic.mathdoc.fr/articles/10.37236/5975/}
}
TY - JOUR
AU - Amin Coja-Oghlan
AU - Nor Jaafari
TI - On the Potts antiferromagnet on random graphs
JO - The electronic journal of combinatorics
PY - 2016
VL - 23
IS - 4
UR - http://geodesic.mathdoc.fr/articles/10.37236/5975/
DO - 10.37236/5975
ID - 10_37236_5975
ER -
%0 Journal Article
%A Amin Coja-Oghlan
%A Nor Jaafari
%T On the Potts antiferromagnet on random graphs
%J The electronic journal of combinatorics
%D 2016
%V 23
%N 4
%U http://geodesic.mathdoc.fr/articles/10.37236/5975/
%R 10.37236/5975
%F 10_37236_5975
Amin Coja-Oghlan; Nor Jaafari. On the Potts antiferromagnet on random graphs. The electronic journal of combinatorics, Tome 23 (2016) no. 4. doi: 10.37236/5975
