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Article type: Research Article
Authors: Nishanthini, Radhakrishnana | Jeyabalan, Ramasamya; * | Balasundar, Samipillaib | Kumar, Gurunathanc
Affiliations: [a] Department of Mathematics, Alagappa University, Karaikudi, Tamilnadu, India | [b] Department of Mathematics, Alagappa Chettiyar College of Engineering Technology, Karaikudi, Tamilnadu, India | [c] Department of Mathematics, Alagappa University Evening College, Ramnad, Tamilnadu, India
Correspondence: [*] Corresponding author. R. Jeyabalan, Department of Mathematics, Alagappa University, Karaikudi, Tamilnadu, India. E-mail: [email protected].
Abstract: The conception of magic labeling in fuzzy graphs elongates to fuzzy vertex magic labeling together with consecutive non-integer values in (0, 1] and the graph’s repercussion is named as fuzzy consecutive vertex magic labeling graphs (FCVM) along with the z-index. In this manuscript, we give some properties associated with FCVM labeling along with z-index as well as the presence of FCVM labeling with z-index in trees and some generalizations. Moreover, we examine the FCVM labeling along with z-index of both regular and irregular graphs. Finally, in real-time applications, we bestow an instance for fuzzy consecutive vertex magic labeling graphs.
Keywords: Fuzzy vertex magic, fuzzy consecutive vertex magic, comb graph, generalized butterfly graph, generalized peterson graph
DOI: 10.3233/JIFS-201489
Journal: Journal of Intelligent & Fuzzy Systems, vol. 41, no. 1, pp. 219-230, 2021
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