The results presented in the above-mentioned recent paper by Neto and Stilck [J. Chem. Phys.128, 184904 (2008)] represent special cases of a more general investigation by Gujrati on recursive lattices and have already appeared either in this journal or elsewhere. Even the methodology adopted by these authors is almost identical to that of Gujrati. We show that their Eq. (27) remains valid even when interactions are present.
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