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Resolving Domination Numbers of Family of Tree Graph
(International Journal of Academic and Applied Research (IJAAR), Vol. 4 Issue 1, January – 2020, Pages: 27-30, 2020-01-09)
All graph in this paper are members of family of graph tree. Let G is a connected graph, for an ordered set
W={w1,w2,...,wk} of vertices and a vertex which is not element of W, then W is dominating set of graph G when the ...
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 ...
Modul Aplikasi Graf dalam Bioteknologi
(Fakultas Keguruan dan Ilmu Pendidikan - UNEJ, 2020-01-09)
Modul ini disusun untuk membantu mahasiswa Program Studi
Pendidkan Matematika Fakultas Keguruan dan Ilmu Pendidikan, Universitas
Jember. Teori graf dikenalkan oleh Leonhard Euler, seorang matematikawan
Swiss diperkirakan ...
Local Irregular Vertex Coloring of Some Families Graph
(Journal of Discrete Mathematical Sciences and Cryptography, (DOI : 10.1080/09720529.2020.1754541), 2020-06-09)
All graph in this paper is connected and simple graph. Let d(u, v) be a distance between
any vertex u and v in graph G = (V, E ). A function : ( )
l V G
{1, 2,
, }
k
→
is called vertex irregular
k-labelling ...
On the Local Irregularity Vertex Coloring of Related Grid Graph
(International Journal of Academic and Applied Research (IJAAR), Vol. 4 Issue 2, February – 2020, Pages: 1-4, 2020-02-01)
All graph in this paper is connected and simple graph. Let graph d(u,v) be a distance between any vertex u and v in
graph ( ). A functio ( ) * +n is called vertex irregular k-labelling and ( ) where ...
On The Packing k-Coloring of Unicyclic Graph Family
(International Journal of Academic and Applied Research (IJAAR), Vol. 4 Issue 1, January – 2020, Pages: 1-9, 2020-01-09)
All graph in this paper is connected graph. Let
du,v
be a distance between any vertex
u
and
v
in graph
GV,E.
A function
c :VG 1, 2, , k
is called a packing
k coloring if every two vertex of color
i
are ...
Some Families of Tree Are Elegant
(Advances in Mathematics: Scientific Journal 9, 2020-12-04)
An elegant labeling on the graph G with n vertex and m edge is a
one-to-one mapping (injection function) of the vertex set V (G) to the set of non
negative integers {0, 1, 2, 3, . . . , m} such that each edge gets the ...
An Inclusive Local Irregularity Coloring of Graphs
(Advances in Mathematics: Scientific Journal, 2020)
All graph in this paper are connected and simple. Let G = (V, E) be a simple graph, where V (G) is vertex set and E(G) is edge set. The local irregularity vertex coloring of G is l : V (G) → {1, 2, · · · , k} and w : V (G) ...