Deepshikha

collaborators

Showing math.COShow all

3 papers · 1 filter

math.CO2025

Spectral properties of distance Laplacian matrices of complex unit gain graphs

Aniruddha Samanta, Deepshikha

A complex unit gain graph ( $T$ -gain graph), $I^¦ = (G, I ¨ )$ is a graph where the function $I ¨ $ assigns a unit complex number to each orientation of an edge of $G$ , and…

math.CO2024

Unifying adjacency, Laplacian, and signless Laplacian theories

Aniruddha Samanta, Deepshikha, Kinkar Chandra Das

Let $G$ be a simple graph with associated diagonal matrix of vertex degrees $D (G)$ , adjacency matrix $A (G)$ , Laplacian matrix $L (G)$ and signless Laplacian matrix $Q (G)$ . Recently,…

math.CO2024

On walk-regular graphs and optimal duals of frames generated by graphs

Deepshikha, Aniruddha Samanta

Erasures are a common problem that arises while signals or data are being transmitted. A profound challenge in frame theory is to find the optimal dual frames ( $O D$ -frames) to mini…