Criteria for the existence of systems of subspaces related to a certain class of unicyclic graphs

• Date: 2021
• Main Authors: Popova, N. D., Strilets, O. V., Попова, Н. Д., Стрелец, Александр, Стрілець, О. В.
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2021
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/6354
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 512.552.4We study the configurations of subspaces of a Hilbert space associated with a unicyclic graph, which is a cycle of length $m\geqslant 3$ and has, at each vertex of the cycle, a chains of length $s\geqslant 1$ glued to the vertex. There is a one-to-one correspondence between the vertices...