Fuzzy dominator coloring on fuzzy soft graphs

Authors

  • Jahir Hussain Rasheed Jamal Mohamed College (Autonomous), Affiliated to Bharathidasan University.
  • Afya Farhana Jamal Mohamed College (Autonomous), Affiliated to Bharathidasan University.

DOI:

https://doi.org/10.23755/rm.v48i0.1153

Keywords:

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

Abstract

A fuzzy soft dominator colouring of a fuzzy soft graph $G^S$(T,V) is an appropriate fuzzy soft colouring such that every single vertex of $G^S$(T,V) dominate entire vertex of a colour group. In the present work, we initiate fuzzy dominator colouring on fuzzy soft path, fuzzy soft cycle, complete fuzzy soft graph, complete fuzzy soft bipartite graph and its fuzzy soft dominator chromatic number is presented as well as bounds for fuzzy soft dominator chromatic number on fuzzy soft graph is established.

Author Biographies

  • Jahir Hussain Rasheed, Jamal Mohamed College (Autonomous), Affiliated to Bharathidasan University.

    R. Jahir Hussain, Associate Professor,

    PG and Research Department of Mathematics

    Jamal Mohamed College, Trichy -620020, Tamil Nadu, India.

  • Afya Farhana, Jamal Mohamed College (Autonomous), Affiliated to Bharathidasan University.

    M.S. Afya Farhana, Assistant Professor,

    PG and Research Department of Mathematics

    Jamal Mohamed College, Trichy -620020, Tamil Nadu, India.

References

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Published

2023-12-30

Issue

Vol. 48 (2023)

Section

Volume 48-2023

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