Geodesic
On a generalization of the method of boundary functionals
Diskretnaya Matematika, Tome 16 (2004) no. 3, pp. 85-104

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The method of boundary functionals was suggested by A. A. Sapozhenko for solving a series of enumeration problems. In this paper, we extend the method to the case of functional pairs with characteristic three and obtain an asymptotic formula for the sum of boundary functionals over regular families of subsets.This research was supported by the Russian Foundation for Basic Research, grant 04–01–00359. 
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     title = {On a generalization of the method of boundary functionals},
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T. V. Andreeva. On a generalization of the method of boundary functionals. Diskretnaya Matematika, Tome 16 (2004) no. 3, pp. 85-104. http://geodesic.mathdoc.fr/item/DM_2004_16_3_a4/