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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2007, Volume 4, Pages 296–299 (Mi semr159)  
This article is cited in 3 scientific papers (total in 3 papers)

Research papers

Decomposing a planar graph into a forest and a subgraph of restricted maximum degree

O. V. Borodina, A. O. Ivanovab, B. S. Stechkinc

a Sobolev Institute of Mathematics, Novosibirsk, Russia
b Yakutsk State University
c Steklov's Institute of Mathematics, Moscow, Russia
Full-text PDF (647 kB) Citations (3)
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Abstract: We disprove the conjecture of He, Hou, Lih, Shao, Wang and Zhu that every plane graph $G$ can be edge-partitioned into a forest and a subgraph of the maximum degree at most $\lceil\Delta(G)/2\rceil+1$.
Received June 16, 2007, published June 29, 2007
Bibliographic databases:
Document Type: Article
UDC: 519.172.2
MSC: 05C15
Language: English
Citation: O. V. Borodin, A. O. Ivanova, B. S. Stechkin, “Decomposing a planar graph into a forest and a subgraph of restricted maximum degree”, Sib. Èlektron. Mat. Izv., 4 (2007), 296–299
Citation in format AMSBIB
\Bibitem{BorIvaSte07}
\by O.~V.~Borodin, A.~O.~Ivanova, B.~S.~Stechkin
\paper Decomposing a~planar graph into a~forest and a~subgraph of restricted maximum degree
\jour Sib. \`Elektron. Mat. Izv.
\yr 2007
\vol 4
\pages 296--299
\mathnet{http://mi.mathnet.ru/semr159}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2465429}
\zmath{https://zbmath.org/?q=an:1132.05313}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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