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: |
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