Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2011, Number 2, Pages 54–56 (Mi vmumm674)  
This article is cited in 1 scientific paper (total in 1 paper)

Short notes

Special embeddings of some disconnected graphs into Euclidean space

K. I. Oblakov, T. A. Oblakova

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (115 kB) Citations (1)
Abstract: This work considers such embeddings of graphs to $\mathbb{R}3$, that each line contains minimal number of points of the image. It is proved that for every embedding of graph containing disjoined union of two Kuratovski–Pontryagin graphs there exists a line containing four points of the image or more. So disjoint unions of Kuratovski–Pontryagin graphs are minimal $3$-unembedd able graphs.
Key words: graphs, embeddings of graphs, Kuratovski–Pontryagin graphs.
Received: 09.03.2010
English version:
Moscow University Mathematics Bulletin, 2011, Volume 66, Issue 2, Pages 90–92
DOI: https://doi.org/10.3103/S0027132211020070
Bibliographic databases:
Document Type: Article
UDC: 515.162.6
Language: Russian
Citation: K. I. Oblakov, T. A. Oblakova, “Special embeddings of some disconnected graphs into Euclidean space”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2011, no. 2, 54–56; Moscow University Mathematics Bulletin, 66:2 (2011), 90–92
Citation in format AMSBIB
\Bibitem{OblObl11}
\by K.~I.~Oblakov, T.~A.~Oblakova
\paper Special embeddings of some disconnected graphs into Euclidean space
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2011
\issue 2
\pages 54--56
\mathnet{http://mi.mathnet.ru/vmumm674}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2882194}
\zmath{https://zbmath.org/?q=an:1304.05029}
\transl
\jour Moscow University Mathematics Bulletin
\yr 2011
\vol 66
\issue 2
\pages 90--92
\crossref{https://doi.org/10.3103/S0027132211020070}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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