Idempotent Cayley Graph of the Ring (Z_n,⊕,⊙)
The idempotent Cayley graph of the ring is the Cayley graph associated with the symmetric set consisting of idempotent elements and their inverses in the group . In this paper, we derive some basic properties of the idempotent elements and construct the idempotent Cayley graph. It is shown that this graph is connected and Hamiltonian. Further, if , this graph is bipartite.
Authors
- Sakshita Anand
- Madhavi Levaku
- Ramya Thejeswini
Institutions
- Yogi Vemana University (IN)
Publication Details
- Journal
- European journal of applied sciences
- Published
- 2025-10-12
- DOI
- https://doi.org/10.14738/aivp.1305.19467
- Primary Topic
- graph theory and CDMA systems
- Type
- article
- Field-Weighted Citation Impact
- 0.00