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math.CO2024
Unifying adjacency, Laplacian, and signless Laplacian theories
Aniruddha Samanta, Deepshikha, Kinkar Chandra Das
Let be a simple graph with associated diagonal matrix of vertex degrees , adjacency matrix , Laplacian matrix and signless Laplacian matrix . Recently,…
math.FA2024
On spectrally optimal duals of frames generated by graphs
Deepshikha, Aniruddha Samanta
Recently, the concept of frames generated by graphs has been introduced in \cite{D}. In this paper, we study spectrally optimal dual frames of frames generated by graphs. We show t…
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 (-frames) to mini…