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May 1, 2026Journal of Applied Mathematics Statistics and InformaticsOpen Access

Spectral properties of the Cartesian product of K ₃ □ K g graphs.

T Pratibha B. Prashanth B. N. Manoj Gowda

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Key Points

To analyze the spectral properties of the Cartesian product graph K3 □ Kg, focusing on the Laplacian matrix and its characteristics.
Explored Laplacian spectral characteristics of K3 □ Kg
Established expressions for the trace of powers of the Laplacian matrix
Developed recursive formulas for Laplacian coefficients.
General expressions for Laplacian matrix trace were established.
Recursive formulas for Laplacian coefficients were developed and validated for various g values.
Upper and lower bounds for the Laplacian eigenvalues of K3 □ Kg were derived.

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Implication

Explores Laplacian spectral characteristics of a graph, indicating recursive relationships and bounds.

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Cite This Study

Pratibha et al. (2026) studied this question.

synapsesocial.com/papers/6a2cf4aefaef96ed7f056d7f https://doi.org/10.2478/jamsi-2026-0002

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