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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 ...
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 = ...