Bounds On Fuzzy Dominator Chromatic Number of Fuzzy Soft Bipartite Graphs

Jahir Hussain R, Afya Farhana M

Abstract


An FSG GS(T,V) fuzzy’s soft dominator colouring (FSDC) is a suitable Fuzzy Soft Colouring (FSC) where every node of a colour group
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


Fuzzy Soft Bipartite Graph, Fuzzy dominator chromatic number, Fuzzy soft path, Fuzzy soft cycle, Strong arcs.

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DOI: http://dx.doi.org/10.23755/rm.v46i0.1063

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