Clique and Independence Number of Rough Co-Zero Divisor Graph and Its Applications in Analyzing a Twitter Data

B. Praba and M. Logeshwari ()
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B. Praba: Department of Mathematics, Sri Sivasubramaniya Nadar College of Engineering, Chennai, Tamil Nadu, India
M. Logeshwari: Department of Mathematics, Sri Sivasubramaniya Nadar College of Engineering, Chennai, Tamil Nadu, India

New Mathematics and Natural Computation (NMNC), 2023, vol. 19, issue 02, 473-487

Abstract: In view of this paper, we have defined Rough Co-zero divisor graph G(Z∗(J)) of a rough semiring (T, Δ,∇) for a given approximation space I = (U,R) where U is nonempty finite set of objects and R is an arbitrary equivalence relation on U. It is proved that the Rough Co-zero divisor graph and the subgraph of Rough Ideal-based rough edge Cayley graph G(T∗(J)) are complement to each other. Also the Clique number and Independence number of G(T∗(J)) and G(Z∗(J)) are obtained. The developed concepts are illustrated with suitable examples. A sentiment analysis is also made using G(T∗(J)) for a Twitter data.

Keywords: Clique number; independence number; rough ideal-based rough edge Cayley graph; rough co-zero divisor graph; rough zero divisor graph (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1142/S1793005723500175

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