Abstract
Consider the family of γ-sets of a zero-divisor graph of finite commutative ring and define the γgraphs (γ) = ( of to be the graph whose vertice V(γ) corresponds 1-to-1 with the γ-sets , say S1 and S2, form an edge in E(γ) if there exist a vertex vÎ such that (i)v is adjacent to and (ii) and Using this definition, we investigate the interplay between the graph theoretic properties of and and the ring theoretic properties of Further, we prove that are an Eulerian and Hamiltonian.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
