Geodesic
Proof of the 3-irreducibility of the third Legendre transform
Teoretičeskaâ i matematičeskaâ fizika, Tome 18 (1974) no. 3, pp. 299-309

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The iterative solution of the equations of motion [6] for the third Legendre transform is analyzed and it is shown that the graphs obtained in the process of iterating these equations are 3-irreducible. Knowledge of the symmetry coefficients of the graphs is not required for the proof. 
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     author = {Yu. M. Pis'mak},
     title = {Proof of the 3-irreducibility of the third {Legendre} transform},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {299--309},
     publisher = {mathdoc},
     volume = {18},
     number = {3},
     year = {1974},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1974_18_3_a0/}
}
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Yu. M. Pis'mak. Proof of the 3-irreducibility of the third Legendre transform. Teoretičeskaâ i matematičeskaâ fizika, Tome 18 (1974) no. 3, pp. 299-309. http://geodesic.mathdoc.fr/item/TMF_1974_18_3_a0/