Sauvik Poddar

collaborators

5 papers

math.CO2026

Homogenized Graphical Shi Arrangements and Deformed Dumont Permutations

Sauvik Poddar, Rutuja Sawant, Umesh Shankar

We introduce the homogenized graphical Shi arrangement associated with a simple undirected graph $G$ , which serves as a broad generalization of classical deformations of the braid…

math.CO2026

Cayley colour integral groups

Sauvik Poddar, Angsuman Das

A finite group $G$ is said to be Cayley integral if every undirected Cayley graph $Cay (G, S)$ on $G$ is integral. In this paper, we introduce three natural extensions…

math.CO2026

Algebraic degree of Cayley colour graphs

Sauvik Poddar

The splitting field of a graph $I^$ with respect to a square matrix $M$ associated with $I^$ , is the smallest field extension over the field of rationals $Q$ that contains…

math.CO2025

An integral family of quasi-strongly regular Cayley graphs

Sauvik Poddar, Sucharita Biswas, Angsuman Das

Quasi-strongly regular graphs form a significant generalization of strongly regular graphs. We study the eigenvalues of a family of such graphs, $I^_{H} (G)$ , constructed from a finit…

math.GR2025

Prime Order Element Graph of a Group -- II

Tapa Manna, Sauvik Poddar, Angsuman Das +1

In this sequel paper, we continue the analysis of the prime order element graph $I^ (G)$ of a finite group $G$ , where vertices are elements of $G$ and edges connect distinct element…