Kongunadu Research Journal
Vol. 9 No. 1 (2022): Vol 9, Iss 1, Year 2022
Articles

Nordhaus-gaddum inequalities for anti fuzzy graph

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  • Kousalya P,
  • Ganesan V,
  • Sathya Seelan N
Kousalya P
PG & Research Department of Mathematics, Nandha Arts and Science College, Erode, Tamil Nadu, India
Ganesan V
PG & Research Department of Mathematics, Thiru Kolanjiappar Government Arts College (Grade – I), Vridhachalam, Tamil Nadu, India
Sathya Seelan N
PG & Research Department of Mathematics, Thiru Kolanjiappar Government Arts College (Grade – I), Vridhachalam, Tamil Nadu, India
DOI: https://doi.org/10.26524/krj.2022.3
Published June 30, 2022
Keywords
  • Anti fuzzy graph (AFG), Complete Anti fuzzy graph, Self-Complementary Anti fuzzy graph, Fuzzy chromatic number, Bound of N-G inequality
How to Cite
Kousalya P, Ganesan V, & Sathya Seelan N. (2022). Nordhaus-gaddum inequalities for anti fuzzy graph. Kongunadu Research Journal, 9(1), 22-26. https://doi.org/10.26524/krj.2022.3

Abstract

The objective of this paper is to finds the lower and upper bounds of Nordhaus-Gaddum inequalities of fuzzy chromatic number for anti-fuzzy graph. This paper analyzes the chromatic index of complementary anti fuzzy graphs in some cases. A theorem is proved for anti-fuzzy graph to be k-critical. Examples are provided to derive the vertex coloring of these graphs.

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