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Diskretnaya Matematika, 2004, Volume 16, Issue 3, Pages 85–104
DOI: https://doi.org/10.4213/dm165 (Mi dm165) 		 
On a generalization of the method of boundary functionals

T. V. Andreeva
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DOI: https://doi.org/10.4213/dm165
Abstract: 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.
Received: 10.11.2003
English version:
Discrete Mathematics and Applications, 2004, Volume 14, Issue 4, Pages 409–430
DOI: https://doi.org/10.1515/1569392041938794
Bibliographic databases:
UDC: 519.1
Language: Russian
Citation: T. V. Andreeva, “On a generalization of the method of boundary functionals”, Diskr. Mat., 16:3 (2004), 85–104; Discrete Math. Appl., 14:4 (2004), 409–430
Citation in format AMSBIB
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\by T.~V.~Andreeva
\paper On a generalization of the method of boundary functionals
\jour Diskr. Mat.
\yr 2004
\vol 16
\issue 3
\pages 85--104
\mathnet{http://mi.mathnet.ru/dm165}
\crossref{https://doi.org/10.4213/dm165}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2109799}
\zmath{https://zbmath.org/?q=an:1103.05005}
\transl
\jour Discrete Math. Appl.
\yr 2004
\vol 14
\issue 4
\pages 409--430
\crossref{https://doi.org/10.1515/1569392041938794}
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    		Дискретная математика
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