The isomorphism problem of trees from the viewpoint of Terwilliger algebras

التفاصيل البيبلوغرافية
العنوان: The isomorphism problem of trees from the viewpoint of Terwilliger algebras
المؤلفون: Li, Shuang-Dong, Fan, Yi-Zheng, Ito, Tatsuro, Karimi, Masoud, Xu, Jing
سنة النشر: 2019
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Combinatorics, 05E10, 05E30, 20C08
الوصف: Let $\Gamma^{(x_0)}$ be a finite rooted tree, for which $\Gamma$ is the underlying tree and $x_0$ the root. Let $T$ be the Terwilliger algebra of $\Gamma$ with respect to $x_0$. We study the structure of the principal $T$-module. As a result, it is shown that $T$ recognizes the isomorphism class of $\Gamma^{(x_0)}$.
Comment: 11 pages
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/1910.09764
رقم الأكسشن: edsarx.1910.09764
قاعدة البيانات: arXiv