二部q多项式距离正则图的Terwilliger代数

IF 0.9 4区数学 Q3 MATHEMATICS, APPLIED

Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2025-06-24 DOI:10.1007/s10255-025-0005-x

Li-hang Hou, Bo Hou, Suo-gang Gao

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引用次数: 0

摘要

设Γ表示顶点集X，价k≥3，直径D≥3的二部q多项式距离正则图。设A为Γ的邻接矩阵，设A*:= A*(x)为Γ关于一个固定顶点x∈x的对偶邻接矩阵。设T:= T(x)表示由A和A*生成的Γ的Terwilliger代数。本文首先描述了A与A*之间的关系。然后我们确定了T和T中心的维数，并给出了T的一组基。

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The Terwilliger Algebras of Bipartite Q-polynomial Distance-regular Graphs

Let Γ denote a bipartite Q-polynomial distance-regular graph with vertex set X, valency k ≥ 3 and diameter D ≥ 3. Let A be the adjacency matrix of Γ and let A*:= A*(x) be the dual adjacency matrix of Γ with respect to a fixed vertex x ∈ X. Let T:= T(x) denote the Terwilliger algebra of Γ generated by A and A*. In this paper, we first describe the relations between A and A*. Then we determine the dimensions of both T and the center of T, and moreover we give a basis of T.

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来源期刊

Acta Mathematicae Applicatae Sinica, English Series 数学-应用数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

3.0 months

期刊介绍： Acta Mathematicae Applicatae Sinica (English Series) is a quarterly journal established by the Chinese Mathematical Society. The journal publishes high quality research papers from all branches of applied mathematics, and particularly welcomes those from partial differential equations, computational mathematics, applied probability, mathematical finance, statistics, dynamical systems, optimization and management science.