Frame Scaling by Graphs

Abstract

In 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.