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Diskretnyi Analiz i Issledovanie Operatsii, 2014, Volume 21, Issue 2, Pages 33–51 (Mi da765)  

This article is cited in 4 scientific papers (total in 4 papers)

A partition of a planar graph with girth 6 into two forests containing no path of length greater than 4

A. N. Glebovab, D. Zh. Zambalaevaa

a S. L. Sobolev Institute of Mathematics, SB RAS, 4 Acad. Koptyug Ave., 630090 Novosibirsk, Russia
b Novosibirsk State University, 2 Pirogov St., 630090 Novosibirsk, Russia
Full-text PDF (343 kB) Citations (4)
References:
Abstract: We prove that every planar graph with girth at least 6 has a vertex partition into two forests containing no path of length greater than 4. Ill. 7, bibliogr. 9.
Keywords: planar graph, girth, path partition.
Received: 25.12.2012
Revised: 21.11.2013
English version:
Journal of Applied and Industrial Mathematics, 2014, Volume 8, Issue 3, Pages 317–328
DOI: https://doi.org/10.1134/S199047891403003X
Bibliographic databases:
Document Type: Article
UDC: 519.8
Language: Russian
Citation: A. N. Glebov, D. Zh. Zambalaeva, “A partition of a planar graph with girth 6 into two forests containing no path of length greater than 4”, Diskretn. Anal. Issled. Oper., 21:2 (2014), 33–51; J. Appl. Industr. Math., 8:3 (2014), 317–328
Citation in format AMSBIB
\Bibitem{GleZam14}
\by A.~N.~Glebov, D.~Zh.~Zambalaeva
\paper A partition of a~planar graph with girth~6 into two forests containing no path of length greater than~4
\jour Diskretn. Anal. Issled. Oper.
\yr 2014
\vol 21
\issue 2
\pages 33--51
\mathnet{http://mi.mathnet.ru/da765}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3241786}
\transl
\jour J. Appl. Industr. Math.
\yr 2014
\vol 8
\issue 3
\pages 317--328
\crossref{https://doi.org/10.1134/S199047891403003X}
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  • https://www.mathnet.ru/eng/da/v21/i2/p33
  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Дискретный анализ и исследование операций
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    Abstract page:244
    Full-text PDF :61
    References:35
    First page:17
     
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