Geodesic
On the chromatic number of graphs with some restriction of vertex degrees
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 162 (2020) no. 4, pp. 387-395

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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. 
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     author = {S. N. Selezneva},
     title = {On the chromatic number of graphs with some restriction of vertex degrees},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
     pages = {387--395},
     publisher = {mathdoc},
     volume = {162},
     number = {4},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2020_162_4_a0/}
}
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S. N. Selezneva. On the chromatic number of graphs with some restriction of vertex degrees. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 162 (2020) no. 4, pp. 387-395. http://geodesic.mathdoc.fr/item/UZKU_2020_162_4_a0/