Year: 2025
Type: article
Abstract: 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: Madhavi Levaku, Seetaka Anand, Ramya Thejeswini
Institution: Yogi Vemana University
Language: English
Topic: Finite Group Theory Research
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4415148708
FWCI:
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