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Zapiski Nauchnykh Seminarov POMI, 2002, Volume 286, Pages 215–226 (Mi znsl1578)  
This article is cited in 1 scientific paper (total in 1 paper)

Growth of the 1-periodic graphs

A. V. Shutov

Vladimir State Pedagogical University
Full-text PDF (165 kB) Citations (1)
Abstract: A new class of graphs is introduced: 1-periodic graphs. A problem on the form of the growth of these graphs is stated. For certain classes of graphs, a self-similar growth in the form of a polygon is proved. Certain general conjectures on the form of the growth are stated.
Received: 25.03.2002
English version:
Journal of Mathematical Sciences (New York), 2004, Volume 122, Issue 6, Pages 3709–3714
DOI: https://doi.org/10.1023/B:JOTH.0000035247.75197.fb
Bibliographic databases:
UDC: 519.21
Language: Russian
Citation: A. V. Shutov, “Growth of the 1-periodic graphs”, Analytical theory of numbers and theory of functions. Part 18, Zap. Nauchn. Sem. POMI, 286, POMI, St. Petersburg, 2002, 215–226; J. Math. Sci. (N. Y.), 122:6 (2004), 3709–3714
Citation in format AMSBIB
\Bibitem{Shu02}
\by A.~V.~Shutov
\paper Growth of the 1-periodic graphs
\inbook Analytical theory of numbers and theory of functions. Part~18
\serial Zap. Nauchn. Sem. POMI
\yr 2002
\vol 286
\pages 215--226
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1578}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1937379}
\zmath{https://zbmath.org/?q=an:1063.05116}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2004
\vol 122
\issue 6
\pages 3709--3714
\crossref{https://doi.org/10.1023/B:JOTH.0000035247.75197.fb}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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