 2277 Joe Neeman, Charles Radin, Lorenzo Sadun
 Existence of a symmetric bipodal phase in the edgetriangle model
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Nov 19, 22

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Abstract. In the edgetriangle model with edge density close to 1/2 and triangle
density below 1/8 we prove that the unique entropymaximizing graphon
is symmetric bipodal. We also prove that, for any edge density $e$ less
than $e_0 = (3\sqrt{3})/6 pprox 0.2113$ and triangle density slightly
less than $e^3$, the entropymaximizing graphon is not symmetric bipodal.
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