On quantum symmetries of graphs

• Date: 2026
• Main Authors: Ostrovska, O., Ostrovskyi, V., Turowska, L., Островська, Ольга, Островський, Василь, Туровська, Людмила, Островский, Василий
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2026
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/9774
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 519.17, 517.98, 519.8 Let $G$ be a simple finite graph and let $\mathcal U_G$ be the corresponding quantum graph. We study the game algebra $C(\mathrm{Qut}(\mathcal U_G))$ of the quantum automorphisms of $\mathcal U_G.$ It is shown that, for the complete graph $K_n,$ the algebra $C(\mathrm{Qut}(...