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math.CO2025
When Are Standard Graph Products Isomorphic?
Priti Prasanna Mondal, M. Rajesh Kannan, Fouzul Atik
This article investigates the isomorphism problem for graphs derived from the four standard graph products: Cartesian, Kronecker (direct), strong, and lexicographic product. We pro…
math.SP2025
On the Spectral Analysis of Power Graph of Dihedral Groups
Basit Auyoob Mir, Fouzul Atik, Priti Prasanna Mondal
The power graph \( \mathcal{G}_G \) of a group \( G \) is a graph whose vertex set is \( G \), and two elements \( x, y \in G \) are adjacent if one is an integral power of the oth…