Cayley fuzzy graphs on groups
DOI:
https://doi.org/10.22199/issn.0717-6279-5828Keywords:
Cayley fuzzy graph, Hamiltonian, Group of integers modulo nAbstract
We investigate some properties of Cayley fuzzy graphs on groups in terms of algebraic structures. And we also discuss the connectedness on it. In this paper, we prove that the Cayley fuzzy graph induced by (Zm × Zn, +, ν) is the disjoint union of Cay (aH, R) provided ν(h) > 0 ∀ h ∈ H and ν(h′) =0 ∀ h′∈ Zm × Zn\H, where H is the cyclic subgroup of order n in Zm × Zn.
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Copyright (c) 2024 JISHA MARY JOHN KAIMALIL HOUSE, A RIYAS, K GEETHA
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