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On r-Dynamic Chromatic Number of the Corronation of Path and Several Graphs
(International Journal of Advanced Engineering Research and Science (IJAERS), [Vol-4, Issue-4, Apr- 2017], 2017-04-09)
This study is a natural extension of k -proper
coloring of any simple and connected graph G. By a n rdynamic
coloring of a graph G, we mean a proper k coloring
of
graph
G
such
that
the
neighbors
of
any
vert ...
r-Dynamic Coloring of the Corona Product of Graphs
(Discrete Mathematics, Algorithms and Applications Vol. 12, No. 2 (2020) 2050019, 2020-01-21)
Let G = (V, E) be a graph. A proper k-coloring of graph G is r-dynamic coloring if
for every v, the neighbors of vertex v receive at least min
{
r, d(v)
}
different colors. The
minimum k such that graph G has r-dynamic ...
The Lower Bound of the r-Dynamic Chromatic Number of Corona Product by Wheel Graphs
(AIP Conf. Proc. 2014, 020054-1–020054-7, 2018-09-21)
The dynamic coloring of a graph G is proper coloring such that every vertex of G with degree has at least two
neighbors that are colored differently. A generalization of the dynamic coloring was also introduced by Montgomery ...
On the r-Dynamic Chromatic Number of the Corronation by Complete Graph
(IOP Conf. Series: Journal of Physics: Conf. Series 1008 (2018) 012033, 2018-04-27)
In this paper we will study the r-dynamic chromatic number of the coronation
by complete graph. A proper k-coloring of graph G such that the neighbors of any vertex v
receive at least minfr; d(v)g di®erent colors. The ...