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

Author

Listed:
  • Jangiti Devendra

    (GITAM University, India)

  • Levaku Madhavi

    (Yogi Vemana University, India)

  • Tippaluri Nagalakshumma

    (Gouthami Institute of Technology and Management for Women, India)

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.

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Handle: RePEc:epw:ejmath:v:3:y:2022:i:4:id:14106
DOI: 10.24018/ejmath.2022.3.4.106
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