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Prikladnaya Diskretnaya Matematika, 2011, Number 2(12), Pages 96–100 (Mi pdm277)  
This article is cited in 4 scientific papers (total in 4 papers)

Applied Graph Theory

On congruences of paths

E. O. Karmanova

Saratov State University named after N. G. Chernyshevsky, Saratov, Russia
Full-text PDF (452 kB) Citations (4)
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Abstract: A congruence of a path is an equivalence relation on the set of path's vertices all of whose classes are independent subsets. It is shown that each connected graph is a quotient-graph of a suitable path. Valuations are established for the minimal length of a chain whose quotient-graph is a given graph.
Keywords: path, congruence, quotient-graph, tree, star.
Document Type: Article
UDC: 512.2
Language: Russian
Citation: E. O. Karmanova, “On congruences of paths”, Prikl. Diskr. Mat., 2011, no. 2(12), 96–100
Citation in format AMSBIB
\Bibitem{Kar11}
\by E.~O.~Karmanova
\paper On congruences of paths
\jour Prikl. Diskr. Mat.
\yr 2011
\issue 2(12)
\pages 96--100
\mathnet{http://mi.mathnet.ru/pdm277}
Linking options:
  • https://www.mathnet.ru/eng/pdm277
  • https://www.mathnet.ru/eng/pdm/y2011/i2/p96
    Cycle of papers
    This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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