Bounds On Fuzzy Dominator Chromatic Number of Fuzzy Soft Bipartite Graphs

Authors

  • Jahir Hussain R PG and Research Department of Mathematics, Jamal Mohamed College (Autonomous), Affiliated to Bharathidasan University, Tiruchirappalli - 620 024, Tamil Nadu, India);
  • Afya Farhana M (PG and Research Department of Mathematics, Jamal Mohamed College (Autonomous), Affiliated to Bharathidasan University, Tiruchirappalli - 620 024, Tamil Nadu, India);

DOI:

https://doi.org/10.23755/rm.v46i0.1063

Keywords:

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

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

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Published

2023-03-20

Issue

Vol. 46 (2023): Special Issue: Advance of Mathematics in Science and Engineering

Section

Volume 46-2023

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