Finite two-distance tight frames

Please use this identifier to cite or link to this item: https://ir.lib.ncu.edu.tw/handle/987654321/109210

Title:	Finite two-distance tight frames
Authors:	俞韋亘;Barg, Alexander;Glazyrin, Alexey;Okoudjou, Kasso A.;Yu, Wei-Hsuan
Contributors:	理學院數學系
Keywords:	Finite tight frames;Spherical 2-designs;Spherical designs of harmonic index 2;Spherical two-distance sets;Strongly regular graphs
Date:	2015-01-01
Issue Date:	2026-04-23 16:15:48 (UTC+8)
Publisher:	Elsevier Inc.;Elsevier Inc
Abstract:	摘要： A finite collection of unit vectors S⊂Rn is called a spherical two-distance set if there are two numbers a and b such that the inner products of distinct vectors from S are either a or b. We prove that if a≠−b, then a two-distance set that forms a tight frame for Rn is a spherical embedding of a strongly regular graph. We also describe all two-distance tight frames obtained from a given graph. Together with an earlier work by S. Waldron (2009) [22] on the equiangular case, this completely characterizes two-distance tight frames. As an intermediate result, we obtain a classification of all two-distance 2-designs. 出版者： Elsevier Inc 出版日期： 2015-06-15 出處： Linear algebra and its applications, 2015-06, Vol.475, p.163-175 資源來源： Elsevier ScienceDirect Journals Complete 版權： 2015 Elsevier Inc. 識別號： ISSN: 0024-3795 識別號： EISSN: 1873-1856 識別號： DOI: 10.1016/j.laa.2015.02.020
Appears in Collections:	[Department of Mathematics] journal & Dissertation

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