A Study on Adjacency Matrix for Zero-Divisor Graphs over Finite Ring of Gaussian Integer
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چکیده
The paper studies the characterization of adjacency matrix corresponding to zero-divisor graphs of finite commutative ring of Gaussian integer under modulo „n‟. For each positive integer we calculate number of zerodivisors & examine nature of the matrix, and then we generalized the order of matrix in each case. Firstly, we have started with some example, which motivates the later results. The study is useful in computer science application such as: coding theory, network communication, museum guard problems, etc.
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تاریخ انتشار 2010