Academic Journal

Generalized Cayley graphs over hypergroups and their graph product.

التفاصيل البيبلوغرافية
العنوان: Generalized Cayley graphs over hypergroups and their graph product.
المؤلفون: Al-Tahan, M.1 (AUTHOR) altahan.madeleine@gmail.com, Davvaz, B.2 (AUTHOR) davvaz@yazd.ac.ir
المصدر: Discrete Mathematics, Algorithms & Applications. Feb2025, Vol. 17 Issue 2, p1-16. 16p.
مصطلحات موضوعية: *HYPERGROUPS, *GENERALIZATION, *ENCODING, *CAYLEY graphs
مستخلص: Cayley graph is a graph that encodes the abstract structure of a group. It gives a way of encoding information about a group in a graph. On the other hand, hypergroup is a generalization of group in which the composition of any two elements is a non-empty set. The purpose of this paper is to find a suitable generalization of Cayley graphs to cover hypergroups. More precisely, we introduce generalized Cayley graphs over hypergroups, study their properties and find a simple tool to construct large connected GCH-graphs from smaller GCH -graphs by using graph product. [ABSTRACT FROM AUTHOR]
قاعدة البيانات: Academic Search Index
الوصف
تدمد:17938309
DOI:10.1142/S1793830924500228