A Study on an Extended Total Fuzzy Graph

Authors

Fekadu Tesgera Agama, Department of Mathematics, College of Natural and Computational Sciences, Wollega University, Nekemte, EthiopiaDepartment of Mathematics, College of Natural and Computational Sciences, Wollega University, Nekemte, EthiopiaFollow
V. N. SrinivasaRao Repalle, Department of Mathematics, College of Natural and Computational Sciences, Wollega University, Nekemte, EthiopiaFollow

Author Country (or Countries)

Ethiopia

Abstract

Total fuzzy graph is defined and its properties as well as its total coloring have been discussed and studied by some scholars. This manuscript defines an extended total fuzzy graph and elaborates it with illustrations. In addition some related properties for extended total fuzzy graphs are stated and proved. Finally, we extant the definition of total coloring of an extended total fuzzy graph and determine the bound for its total chromatic number.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/160404

Recommended Citation

Tesgera Agama, Fekadu and N. SrinivasaRao Repalle, V. (2022) "A Study on an Extended Total Fuzzy Graph," Applied Mathematics & Information Sciences: Vol. 16: Iss. 4, Article 4.
DOI: http://dx.doi.org/10.18576/amis/160404
Available at: https://digitalcommons.aaru.edu.jo/amis/vol16/iss4/4