Frame Scaling by Graphs

K. Ayyanar (), P. Sam Johnson () and A. Senthil Thilak ()
Additional contact information
K. Ayyanar: National Institute of Technology Karnataka, Surathkal
P. Sam Johnson: National Institute of Technology Karnataka, Surathkal
A. Senthil Thilak: National Institute of Technology Karnataka, Surathkal

Indian Journal of Pure and Applied Mathematics, 2025, vol. 56, issue 3, 891-900

Abstract: Abstract In this paper, we investigate the scalability of a given frame in $$\mathbb {R}^n$$ R n by using graphs. For each frame $$\phi $$ ϕ in $$\mathbb {R}^n$$ R n , we associate a simple undirected graph $$G(\phi )$$ G ( ϕ ) and use it to verify the scalability of $$\phi $$ ϕ . 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.

Keywords: Frame graph; Tight frame; Scalable frame; Scalable graph.; 42C15; 05C50 (search for similar items in EconPapers)
Date: 2025
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s13226-025-00809-2 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:indpam:v:56:y:2025:i:3:d:10.1007_s13226-025-00809-2

Ordering information: This journal article can be ordered from
https://www.springer.com/journal/13226

DOI: 10.1007/s13226-025-00809-2

Access Statistics for this article

Indian Journal of Pure and Applied Mathematics is currently edited by Nidhi Chandhoke

More articles in Indian Journal of Pure and Applied Mathematics from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().