Pralhad Shinde

activity

20172023

collaborators

4 papers

math.CO2023

Laplacian Spectra of Semigraphs

Pralhad M. Shinde

Consider a semigraph $G = (V, E)$ ; in this paper, we study the eigenvalues of the Laplacian matrix of $G$ . We show that the Laplacian of $G$ is positive semi-definite, and $G$ is co…

math.SP2022

Adjacency Spectra of Semigraphs

Pralhad M. Shinde

In this paper, we define the adjacency matrix of a semigraph. We give the conditions for a matrix to be semigraphical and give an algorithm to construct a semigraph from the semigr…

math.GR2020

Algorithms in Linear Algebraic Groups

Sushil Bhunia, Ayan Mahalanobis, Pralhad Shinde +1

This paper presents some algorithms in linear algebraic groups. These algorithms solve the word problem and compute the spinor norm for orthogonal groups. This gives us an algorith…

cs.CR2017

Bilinear cryptography using finite $p$ -groups of nilpotency class 2

Ayan Mahalanobis, Pralhad Shinde

In this short note, we develop a novel idea of a bilinear cryptosystem using the discrete logarithm problem in matrices. These matrices come from a linear representation of a finit…

Laplacian Spectra of Semigraphs

Adjacency Spectra of Semigraphs

Algorithms in Linear Algebraic Groups

Bilinear cryptography using finite p-groups of nilpotency class 2

Bilinear cryptography using finite $p$ -groups of nilpotency class 2