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Prikladnaya Diskretnaya Matematika, 2011, supplement № 4, Pages 91–92 (Mi pdm297)  
Applied Graph Theory

On congruences of paths

E. O. Karmanova

Saratov State University named after N. G. Chernyshevsky, Saratov
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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 a minimal length of a chain whose quotient-graph is a given graph.
Document Type: Article
UDC: 512.2
Language: Russian
Citation: E. O. Karmanova, “On congruences of paths”, Prikl. Diskr. Mat., 2011, supplement № 4, 91–92
Citation in format AMSBIB
\Bibitem{Kar11}
\by E.~O.~Karmanova
\paper On congruences of paths
\jour Prikl. Diskr. Mat.
\yr 2011
\pages 91--92
\issueinfo supplement № 4
\mathnet{http://mi.mathnet.ru/pdm297}
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  • https://www.mathnet.ru/eng/pdm/y2011/i13/p91
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