Explicit formulas are given for the clique number, chromatic number, connectivity measures, diameter, girth, topological indices, and eigenvalues/energy/spectral radius of the adjacency, Laplacian, and eccentricity matrices of the zero-divisor graph of the given ring.
Annamalai, On Zero-Divisor Graph of the ring Fp + uFp + u2Fp, Com- munications in Combinatorics and Optimization, 10(1)
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Graph Theoretic and Spectral Properties of the Zero-Divisor Graph of $\mathbb{F}_p + u\mathbb{F}_p + v\mathbb{F}_p + uv\mathbb{F}_p$
Explicit formulas are given for the clique number, chromatic number, connectivity measures, diameter, girth, topological indices, and eigenvalues/energy/spectral radius of the adjacency, Laplacian, and eccentricity matrices of the zero-divisor graph of the given ring.