Baby Bhattacharya

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20242026

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math.CO2026

Structural Characterizations and Algebraic Realizations of a Family of Regular Integral Graphs

Tapa Manna, Supriyo Dutta, Baby Bhattacharya

All the eigenvalues of an integral graphs are integers. Integral graphs are extremely rare. They form an asymptotically vanishing fraction $2^{- Ω (n)}$ among all graphs on $n$ verti…

math.CO2026

Structural and Spectral Properties of Prime Order Element Graph of Finite Abelian Groups

Tapa Manna, Supriyo Dutta, Baby Bhattacharya

Given a finite group $G$ , the \emph{Prime Order Element (POE) Graph} $Γ (G)$ consists of the group elements as the vertices, and two vertices $x$ and $y$ are adjacent if and only if…