An infinite family of two-distance tight frames
An infinite family of two-distance tight frames
复制标题
无限系列的两距离紧框架
DOI：
10.1117/12.2528878
复制
发表时间：
2019
期刊：
影响因子：
--
通讯作者：
Jasper, John
中科院分区：
文献类型：
--
作者：
Brown, Nicholas P.;Jasper, John
等角紧框架和强正则图之间的关系已经知道了好几年。这种关系已经被用来构造许多新的强正则图的最新例子。最近的研究表明，两距离紧框架和强正则图之间也存在类似的关系。本文提出了一种新的张量类的两距离紧框架的构造，从而得到了一类强正则图。虽然已知存在具有这些参数的图，但这种新的构造非常简单，只需要仿射平面的存在，而原始构造通常需要更复杂的对象，如广义四边形。
The relationship between equiangular tight frames and strongly regular graphs has been known for several years. This relationship has been exploited to construct many of the latest examples of new strongly regular graphs. Recently it was shown that there is a similar relationship between two-distance tight frames and strongly regular graphs. In this paper we present a new tensor like construction of two-distance tight frames, and hence a family of strongly regular graphs. While graphs with these parameters were known to exist, this new construction is very simple, requiring only the existence of an affine plane, whereas the original constructions often require more complicated objects such as generalized quadrangles.
DOI：
--
发表时间：
1970
期刊：
Canadian Journal of Mathematics - Journal Canadien de Mathematiques
影响因子：
--
作者：
J. Goethals;J. Seidel
通讯作者：
J. Seidel