Bounds On Fuzzy Dominator Chromatic Number of Fuzzy Soft Bipartite Graphs
Abstract
is dominated by a vertex of GS(T,V). In the current work, we characterize the sharp bounds for the Fuzzy Dominator Chromatic Number
(FDCN) of fuzzy soft bipartite graphs and we present limits on the
FDCN of fuzzy soft bipartite graph in terms of the γe(GS(T; V )).
Furthermore, we classify fuzzy soft bipartite graphs into three classes
based on FDCN
Keywords
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M. Akram and S. Nawaz. On fuzzy soft graphs. Italian Journal of Pure and
Applied Mathematics, 34:497– 514, 2015.
M. Chellali and F. Maffary. Dominator colorings in some classes of graphs.
Graphs Combin, 28:97–107, 2012.
A. N. Gani and V. Chandrasekaran. First look at fuzzy graph theory. Allied
Publishers, 2010.
R. Gera. On the dominator colorings in bipartite graphs. Proceedings of the 4th
International Conference on Information Technology.New Generations, pages
– 952, 2007.
R. J. Hussain and M. A. Farhana. Fuzzy chromatic number of fuzzy soft graphs.
Advances and Applications in Mathematical Sciences, pages 1125 – 1131,
R. J. Hussain and K. K. Fathima. On fuzzy dominator colouring in fuzzy graphs.
Applied Mathematical Sciences, 9:1131–1137, 2015.
R. J. Hussain and S. S. Hussain. Domination in fuzzy soft graphs. International
Journal of Fuzzy Mathematical Archieve, 14(2):243 – 252, 2017.
D. Molodstov. Soft set theory – first results. Computers and
Mathematics with
Applications, 37:19–31, 1999.
DOI: http://dx.doi.org/10.23755/rm.v46i0.1063
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