Consecutive z-index vertex magic labeling graphs

Article type: Research Article

Authors: Nishanthini, Radhakrishnan^a | Jeyabalan, Ramasamy^{a; *} | Balasundar, Samipillai^b | Kumar, Gurunathan^c

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: jeyram84@gmail.com.

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