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Diskretnaya Matematika, 2004, Volume 16, Issue 3, Pages 153–159
DOI: https://doi.org/10.4213/dm169
(Mi dm169)
 

This article is cited in 5 scientific papers (total in 5 papers)

On the characteristic polynomials of periodic graphs

V. A. Kolmykov
Full-text PDF (581 kB) Citations (5)
References:
Abstract: We consider periodic graphs of two types, chain and cyclic extension of an arbitrary graph. We give formulas which express the characteristic polynomials of such constructions in terms of the polynomials of the initial graphs, their subgraphs and the polynomials of a chain and a cycle. We present some applications of these results.
Received: 05.03.2002
Revised: 16.06.2003
English version:
Discrete Mathematics and Applications, 2004, Volume 14, Issue 4, Pages 431–437
DOI: https://doi.org/10.1515/1569392041938820
Bibliographic databases:
UDC: 519.17
Language: Russian
Citation: V. A. Kolmykov, “On the characteristic polynomials of periodic graphs”, Diskr. Mat., 16:3 (2004), 153–159; Discrete Math. Appl., 14:4 (2004), 431–437
Citation in format AMSBIB
\Bibitem{Kol04}
\by V.~A.~Kolmykov
\paper On the characteristic polynomials of periodic graphs
\jour Diskr. Mat.
\yr 2004
\vol 16
\issue 3
\pages 153--159
\mathnet{http://mi.mathnet.ru/dm169}
\crossref{https://doi.org/10.4213/dm169}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2109803}
\zmath{https://zbmath.org/?q=an:1105.05046}
\transl
\jour Discrete Math. Appl.
\yr 2004
\vol 14
\issue 4
\pages 431--437
\crossref{https://doi.org/10.1515/1569392041938820}
Linking options:
  • https://www.mathnet.ru/eng/dm169
  • https://doi.org/10.4213/dm169
  • https://www.mathnet.ru/eng/dm/v16/i3/p153
  • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Дискретная математика
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    Full-text PDF :335
    References:64
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