Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2017, Number 5, Pages 61–65 (Mi vmumm99)  
This article is cited in 1 scientific paper (total in 1 paper)

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Immersions of graphs into projective plane

M. A. Ivashkovsky

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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Abstract: Immersions of graphs to the projective plane are studied. A classification of immersions up to regular homotopy is obtained. A complete invariant of immersions up to regular homotopy is constructed. The case of graphs immersions to any compact surface different from the projective plane was known.
Key words: regular immersion of a graph, regular homotopy of immersions, Reidemeister moves, self-intersection number.
Received: 01.03.2017
English version:
Moscow University Mathematics Bulletin, 2017, Volume 72, Issue 5, Pages 217–220
DOI: https://doi.org/10.3103/S0027132217050084
Bibliographic databases:
Document Type: Article
UDC: 515.162.6
Language: Russian
Citation: M. A. Ivashkovsky, “Immersions of graphs into projective plane”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2017, no. 5, 61–65; Moscow University Mathematics Bulletin, 72:5 (2017), 217–220
Citation in format AMSBIB
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