This article discusses the coloring of anti-fuzzy graph product. We studied the coloring of the anti-fuzzy graph direct product and came up with several properties. The coloring of anti-fuzzy graph direct product is a vertex coloring on the new anti-fuzzy graph obtained from the direct product of the anti-fuzzy graph whose vertices are colored. In general, the coloring of two anti-fuzzy graphs direct product with different of coloring each vertices is a coloring anti-fuzzy graph. The coloring of two strong anti-fuzzy graphs with different of coloring each vertices is a coloring strong anti-fuzzy graph. Other than that, different of coloring anti-fuzzy products are also discussed.
REFERENCES
1.
M.
Akram
, “Anti Fuzzy Structures on Graphs
,” in Middle East Journal of Scientific Research,
pp. 1641
–1648
(2012
).2.
R.
Muthuraj
and A.
Sasireka
, “Some Characterization on Operations of Anti Fuzzy Graphs
,” in International Conference on Mathematical Impacts in Science And Technology, (MIST-17), IJRASET
, pp. 109
–117
(2017
).3.
Y.
Trisanti
, T.
Nusantara
, A. B.
Gani
and H.
Susanto
, “Different types of product of anti fuzzy graph
,” in The 2nd International Conference on Science, Mathematics, Environment, and Education,
AIP Conference Proceedings
, pp. 1
–10
(2019
).4.
Y.
Trisanti
, “Product Characteristics on Anti Fuzzy Graphs," Thesis
, State University of Malang
, (2019
).5.
S.
Munoz
, T.
Ortuno
, J.
Ramirez
and J.
Yanez
, “Coloring Fuzzy Graphs
,” in Omega,
pp. 211
–221
(2005
).6.
C.
Eslachi
and B. N.
Onagh
, “Vertex Strenght of Fuzzy Graphs
,” in International Journal of Mathematics and Mathematical Sciences,
(2006
).7.
M.A.
Rifayathali
, A.
Prasanna
and S. Ismail
Mohideen
, “Chromatic Excellence in Anti Fuzzy Graphs
,” in Journal of Applied Science and Computations,
pp. 305
–316
(2018
).8.
R.
Seethalakshmi
and R.B.
Gnanajothi
, “Operations on Anti Fuzzy Graphs
,” in Mathematical Sciences International Research Journal,
pp. 210
–214
(2016
).9.
T.
Nusantara
, D.
Rahmadani
, M.
Hafiizh
and E. D.
Cahyanti
, “On Vertice and Edge Regular Anti Fuzzy Graphs
,” in Journal of Physics,
Annual Conference on Science and Technology Research (ACOSTER
), (2021
).10.
R.
Muthuraj
and A.
Sasireka
, “Some Types of Nodal and Edge Regular Anti Fuzzy Graph
,” in International Journal of Fuzzy Mathematical Archive,
pp. 365
–378
(2017
).11.
R. M. a. A.
Sasireka
, “Connected Domination
,” in Journal of Applied Science and,
pp. 18
–28
(2018
).12.
G.
Chartrand
and P.
Zhang
, Chromatic Graph Theory
(CRC Press
, A Chapman & Hall book
, 2009
).13.
M.
Pal
, S.
Samanta
and G.
Ghorai
, Modern Trends in Fuzzy Graph Theory
(Springer
, Singapore
, 2020
).14.
R.
Muthuraj
and A.
Sasireka
, “Dominator Coloring on Anti Fuzzy Graph
,” in Malaya Journal of Matematik,
pp. 217
–223
(2019
).
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