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