Enumeration of Triangles and Hamiltonian Property of The Zero-Divisor Cayley Graph of The Ring G(Zₙ,⊕,⊙)

Jangiti Devendra, Levaku Madhavi and Tippaluri Nagalakshumma
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Jangiti Devendra: GITAM University, India
Levaku Madhavi: Yogi Vemana University, India
Tippaluri Nagalakshumma: Gouthami Institute of Technology and Management for Women, India

European Journal of Mathematics and Statistics, 2022, vol. 3, issue 4, 37-42

Abstract: In this paper an enumeration method to find the number of triangles in the zero-divisor Cayley graph G(Zₙ,D₀ ) associated with the ring (Zₙ,⨁,⨀),n≥1 of integers modulo n, an integer and its subset D0 of zero-divisors is presented. Further it is shown that this graph is Hamiltonian, not bipartite and Eulerian graph when n is odd.

Keywords: Zero-divisor; Zero-divisor Cayley graph; Triangle; Basic triangle and Hamilton cycle (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:epw:ejmath:v:3:y:2022:i:4:id:14106

DOI: 10.24018/ejmath.2022.3.4.106

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