Advances and Applications in Discrete Mathematics
Volume 40, Issue 1, Pages 113 - 123
(October 2023) http://dx.doi.org/10.17654/0974165823060 |
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ON CORONA PRODUCT OF ZERO-DIVISOR GRAPHS OF DIRECT PRODUCT OF FINITE FIELDS
Subhash Mallinath Gaded and Nithya Sai Narayana
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Abstract: The zero-divisor graph of a commutative ring R is defined to be a graph with all the elements of ring R as vertices and two distinct vertices x, y adjacent if and only if Thereafter, it got modified by considering only the non-zero zero-divisors as the vertices of the zero-divisor graph denoted by and two distinct vertices x, y adjacent if and only if The graph generated by taking one copy of G, referred to as the centre graph, and copies of H, referred to as the outer graph, and making the ith vertex of G adjacent to every vertex of the ith copy of H is the Corona product of G and H denoted by In this paper, we determine the graph properties such as diameter, girth, clique number, vertex chromatic number, and independence number of Corona product of zero-divisor graphs of direct product of finite fields.
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Keywords and phrases: zero-divisor graphs, corona product, clique, chromatic number.
Received: February 13, 2023; Accepted: June 28, 2023; Published: August 4, 2023
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