Author

Santanu Mandal

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Review Oct 2026

The Spectral Theory of Threshold Graphs: A Survey

Threshold graphs-the $\{P_4, C_4, 2K_2\}$-free graphs, equivalently those built from a single vertex by repeatedly adding isolated or dominating vertices-are among the most thoroughly studied graph classes in spectral graph theory. This survey collects results on the spectrum of threshold graphs across the full range o...

Pallabi Manna, Santanu Mandal, F. Tura · 0 citations

Preprint Oct 2026

$D^L$, $D^Q$ Spectrum and Eigenvalue-free Interval of Cayley Graphs over Finite Nilpotent Groups

For a finite group $G$ and a symmetric connection set $S$, we study the distance Laplacian ($D^L$) and distance signless Laplacian ($D^Q$) spectrum of the Cayley graph $\Cay(G,S)$ for $G$ a finite nilpotent group. Using the internal direct product decomposition over Sylow subgroups, we reduce every question to a single...

Pallabi Manna, Santanu Mandal · 0 citations