Geodesic
Combinational analysis of the overlapping problem for vertices with more than four legs.~II. Higher Legendre transforms
Teoretičeskaâ i matematičeskaâ fizika, Tome 24 (1975) no. 2, pp. 177-194

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The properties of the graphs of the $m$-th Legendre transformation $\Gamma^{(m)}(\varepsilon_1,\dots,\varepsilon_m;A_{m+1},\dots,A_n)$ of the connected Green function generating functional ($\varepsilon_1,\dots,\varepsilon_m$ being dressed variables [7], $A_{m+1},\dots,A_n$ being bare ones) are considered. This gives an opportunity to find the explicite expression for the sum of all sceleton graphs included in the representation of; the dressed $k$-leg vertex, $k\leqslant m$, and containing nontrivial $l$-leg subgraphs, $l\leqslant k$. 
@article{TMF_1975_24_2_a3,
     author = {Yu. M. Pis'mak},
     title = {Combinational analysis of the overlapping problem for vertices with more than four {legs.~II.} {Higher} {Legendre} transforms},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {177--194},
     publisher = {mathdoc},
     volume = {24},
     number = {2},
     year = {1975},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1975_24_2_a3/}
}
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Yu. M. Pis'mak. Combinational analysis of the overlapping problem for vertices with more than four legs.~II. Higher Legendre transforms. Teoretičeskaâ i matematičeskaâ fizika, Tome 24 (1975) no. 2, pp. 177-194. http://geodesic.mathdoc.fr/item/TMF_1975_24_2_a3/