Frame classification of the reduced labeled blocks
Diskretnaya Matematika, Tome 27 (2015) no. 1, pp. 59-72

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We describe a method of partitioning the given set of graphs into non-intersecting subsets each consisting of graphs with common frame. Sets of graphs having such representations are presented. The possibility to apply these representations to the derivation of asymptotic expansions in some problems of statistical mechanics is discussed.
Keywords: classification of graphs, enumeration of graphs, frame cycles.
@article{DM_2015_27_1_a4,
     author = {Georgiy I. Kalmykov},
     title = {Frame classification of the reduced labeled blocks},
     journal = {Diskretnaya Matematika},
     pages = {59--72},
     publisher = {mathdoc},
     volume = {27},
     number = {1},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_2015_27_1_a4/}
}
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Georgiy I. Kalmykov. Frame classification of the reduced labeled blocks. Diskretnaya Matematika, Tome 27 (2015) no. 1, pp. 59-72. http://geodesic.mathdoc.fr/item/DM_2015_27_1_a4/