Finite two-distance tight frames

Alexander Barg, Alexey Glazyrin, Kasso A. Okoudjou, Wei Hsuan Yu

研究成果: 雜誌貢獻期刊論文同行評審

31 引文 斯高帕斯(Scopus)

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.

原文???core.languages.en_GB???
文章編號13109
頁(從 - 到)163-175
頁數13
期刊Linear Algebra and Its Applications
475
DOIs
出版狀態已出版 - 6月 2015

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