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Algorithm for describing the Terwilliger and quantum adjacency algebras of a distance-regular graph | ||
| Communications in Combinatorics and Optimization | ||
| مقاله 15، دوره 11، شماره 3، آذر 2026، صفحه 975-984 اصل مقاله (386.69 K) | ||
| نوع مقاله: Original paper | ||
| شناسه دیجیتال (DOI): 10.22049/cco.2024.29114.1874 | ||
| نویسندگان | ||
| Abdillah Ahmad* 1؛ John Vincent Morales2؛ Pritta Etriana Putri3 | ||
| 1Master Program in Mathematics, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Bandung, Indonesia | ||
| 2Department of Mathematics and Statistics, De La Salle University, Manila, Philippines | ||
| 3Combinatorial Mathematics Research Group, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Bandung, Indonesia | ||
| چکیده | ||
| In this paper we consider an algorithm for determining a basis for the Terwilliger and quantum adjacency algebras of a distance-regular graph. For the Terwilliger algebra, we consider the generating set. For the quantum adjacency algebra, we consider the generating set consisting of the raising, flat, and lowering matrices. We give optimization method by using generating matrices with a block-matrix structure so that the number of matrix multiplications required is reduced. | ||
| کلیدواژهها | ||
| distance-regular graphs؛ Terwilliger algebra؛ subconstituent algebra؛ quantum decomposition؛ algorithm optimization | ||
| مراجع | ||
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[12] J. Xu, T. Ito, and S.D. Li, Irreducible representations of the Terwilliger algebra of a tree, Graphs Combin. 37 (2021), no. 5, 1749–1773. https://doi.org/10.1007/s00373-021-02384-9 | ||
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