Ayyanar, K.Johnson, P.Senthil Thilak, A.S.2026-02-032025Indian Journal of Pure and Applied Mathematics, 2025, 56, 3, pp. 891-900195588https://doi.org/10.1007/s13226-025-00809-2https://idr.nitk.ac.in/handle/123456789/20109In this paper, we investigate the scalability of a given frame in Rn by using graphs. For each frame ? in Rn, we associate a simple undirected graph G(?) and use it to verify the scalability of ?. We provide some necessary conditions to test the scalability of a given frame. Finally, we study the scalability of some special classes of frames by using graphs. © The Indian National Science Academy 2025.Frame graphScalable frameScalable graphTight frame