Even Intensity and Implementation of Fuzzy Intrinsic Edge-Magic Graphs

M. Kaliraja; M. Sasikala

doi:10.26713/cma.v15i1.2417

Authors

M. Kaliraja Department of Mathematics, H.H. The Rajah’s College (Autonomous) (affiliated to Bharathidasan University), Pudukkottai 622001, India https://orcid.org/0000-0003-1555-4631 (unauthenticated)
M. Sasikala Department of Mathematics, The American College (Autonomous) (affiliated to Madurai Kamaraj University), Madurai 625002, India https://orcid.org/0009-0005-2068-3739 (unauthenticated)

DOI:

https://doi.org/10.26713/cma.v15i1.2417

Keywords:

Fuzzy intrinsic edge-magic labelling, fuzzy intrinsic edge-magic graph, star graph, paw graph, secure, supreme & subordinate intrinsic edge magic graph

Abstract

A graph labelling is an assignment of integers to the vertices or edges, or both under certain restrictions. A fuzzy graph \(G\) is said to be intrinsic edge-magic if it satisfies the intrinsic edge-magic labelling with intrinsic constant \(\lambda _{c}=\sigma (v_{i}) +\mu (v_{i}v_{j})+\sigma (v_{j})\), for all \(v_{i}, v_{j} \in V\). In this article, we introduce the even intensity of intrinsic edge magic graph and the application of fuzzy intrinsic edge magic graph is illustrated with suitable example.

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