5 papers
Cayley colour integral groups
Sauvik Poddar, Angsuman Das
A finite group is said to be Cayley integral if every undirected Cayley graph on is integral. In this paper, we introduce three natural extensions…
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 , which serves as a broad generalization of classical deformations of the braid…
Algebraic degree of Cayley colour graphs
Sauvik Poddar
The splitting field of a graph with respect to a square matrix associated with , is the smallest field extension over the field of rationals that contains a…
Integral 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, , constructed from a finite…
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 of a finite group , where vertices are elements of and edges connect distinct elements…