Geodesic
Analysis of the nonstar graphs of the Legendre transform in the ising model
Teoretičeskaâ i matematičeskaâ fizika, Tome 23 (1975) no. 3, pp. 366-373

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Investigation (started in [1]) of the first Legendre transformation for the logarithm of the statistical sum in the Ising model is continued. The diagram expansion of the Legendre transformation $\Phi$ is the analogue of the virial expansion in the nonideal gas theory, however in contrast to the gas theory, in the case of the Ising model the functional $\Phi$ contains nonstar graphs as well. Complete characterisation of these graphs is given. The practical method of constructing the nonstar graphs (the compensation method) is suggested. 
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     author = {A. N. Vasil'ev and R. A. Radzhabov},
     title = {Analysis of the nonstar graphs of the {Legendre} transform in the ising model},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {366--373},
     publisher = {mathdoc},
     volume = {23},
     number = {3},
     year = {1975},
     language = {ru},
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}
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A. N. Vasil'ev; R. A. Radzhabov. Analysis of the nonstar graphs of the Legendre transform in the ising model. Teoretičeskaâ i matematičeskaâ fizika, Tome 23 (1975) no. 3, pp. 366-373. http://geodesic.mathdoc.fr/item/TMF_1975_23_3_a8/