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Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2020, Volume 162, Book 4, Pages 387–395
DOI: https://doi.org/10.26907/2541-7746.2020.4.387-395
(Mi uzku1569)
 

On the chromatic number of graphs with some restriction of vertex degrees

S. N. Selezneva

Lomonosov Moscow State University, Moscow, 119991 Russia
References:
Abstract: Graphs, for which the degree of a certain vertex is equal to $(d+1)$ and the degrees of all other vertices are at most $d$, $d \geqslant 3$, were considered. Properties were obtained to color vertices of these graphs in $d$ colors.
Keywords: graph, coloring, vertex coloring, chromatic number, degree of vertex in graph.
Funding agency Grant number
Moscow Center of Fundamental and Applied Mathematics
The study was supported by the Moscow Center for Fundamental and Applied Mathematics, Moscow State University (project “Bounds for complexity characteristics of Boolean functions and graphs”, 2020).
Received: 23.10.2020
Bibliographic databases:
Document Type: Article
UDC: 519.17
Language: Russian
Citation: S. N. Selezneva, “On the chromatic number of graphs with some restriction of vertex degrees”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 162, no. 4, Kazan University, Kazan, 2020, 387–395
Citation in format AMSBIB
\Bibitem{Sel20}
\by S.~N.~Selezneva
\paper On the chromatic number of graphs with some restriction of vertex degrees
\serial Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
\yr 2020
\vol 162
\issue 4
\pages 387--395
\publ Kazan University
\publaddr Kazan
\mathnet{http://mi.mathnet.ru/uzku1569}
\crossref{https://doi.org/10.26907/2541-7746.2020.4.387-395}
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    Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
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