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The r-Dynamic Local Irregularity Vertex Coloring of Graph
(INTERNATIONAL JOURNAL OF SCIENTIFIC & TECHNOLOGY RESEARCH VOLUME 8, ISSUE 07, JULY 2019, 2019-07-01)
We define the r-dynamic local irregularity vertex coloring. Suppose : V(G) {1,2, … , k} is called vertex irregular k-labeling and w : V(G)
N where 𝑤(𝑢) = ∑
(𝑣)
. is called r-dynamic local irregular vertex ...
Vertex Coloring Edge-Weighting of Coronation by Path Graphs
(IOP Conf. Series: Journal of Physics: Conf. Series 1211 (2019) 012004, 2019-05-07)
In this paper, we study vertex coloring edge of corona graph. A k-edge weigting of
graph G is mapping w : (EG) ! f1; 2; ; kg. An edge-weighting w induces a vertex coloring
Fw : V (G) ! N de ned by fw(v) =
P
v2e
w(e). ...
Local Antimagic r-dynamic Coloring of Graphs
(IOP Conf. Series: Earth and Environmental Science 243 (2019) 012077, 2019-04-09)
Let G = (V; E) be a connected graph. A bijection function f : E(G) !
f1; 2; 3; ; E(G)jg is called a local antimagic labeling if for all uv 2 E(G)s, w(u)
6= w(v),
where w(u) = e2E(u)f(e). Such that, local antimagic ...
On The Rainbow Antimagic Connection Number of Some Wheel Related Graphs
(International Journal of Academic and Applied Research (IJAAR), Vol.3 Issue 12, December – 2019, Pages: 60-64, 2019-12-01)
All graphs in this paper is connected and simple. Let ( ) be a connected and simple graph with vertices set and
edge set . A bijection function * | ( )|+ is called an edge antimagic vertex ...
On The Packing k-Coloring of Edge Corona Product
(International Journal of Academic and Applied Research (IJAAR), Vol. 3 Issue 12, December – 2019, Pages: 55-59, 2019-12-01)
All graph in this paper is connected and simple graph. Let
du,v
be a distance between any vertex
u
and
v
in graph
G V,E
. A function
c :VG1, 2,, k
is called a packing k-coloring if every two vertices ...
On the Chromatic Number Local Irregularity of Related Wheel Graph
(IOP Conf. Series: Journal of Physics: Conf. Series 1211 (2019) 012003, 2019-05-07)
A function f is called a local irregularity vertex coloring if (i) l : V (G) !
f1; 2; ; kg as vertex irregular k-labeling and w : V (G) ! N, for every uv 2 E(G); w(u)
6= w(v)
where w(u) = v2N(u)l(v) and (ii) ...
Resolving Domination Number of Graphs
(Discrete Mathematics, Algorithms and Applications, Vol. 11, No. 6 (2019) 1950071, 2019-11-05)
For a set W =
{
s1,s2,...,sk
of vertices of a graph G, the representation multiset of
a vertexv of G with respect to W is r(v
|
W ) =
{
d(v, s1),d(v, s2),...,d(v, sk)
}
, where
d(v, si) is a distance between of ...
Metric Chromatic Number of Unicyclic Graphs
(INTERNATIONAL JOURNAL OF SCIENTIFIC & TECHNOLOGY RESEARCH VOLUME 8, ISSUE 06, JUNE 2019, 2019-06-09)
All graphs in this paper are nontrivial and connected graph. Let 𝑓 ∶ 𝑉 (𝐺) → *1,2, … , 𝑘+ be a vertex coloring of a graph 𝐺where two adjacent
vertices may be colored the same color. Consider the color classes Π = ...