Product of normal edge-transitive Cayley graphs

الموضوعات :

A. Assari ¹ (Department of Basic Science, Jundi-Shapur University of Technology, Dezful, Iran)

تاريخ الإرسال : 19 الأربعاء , رمضان, 1435 تاريخ التأكيد : 01 الخميس , ذو الحجة, 1435 تاريخ الإصدار : 03 السبت , ذو الحجة, 1435

الکلمات المفتاحية: Cayley graph, Normal edge-transitive, Product of graphs,

ملخص المقالة :

For two normal edge-transitive Cayley graphs on groups H and K which have nocommon direct factor and $\gcd(|H/H^\prime|,|Z(K)|)=1=\gcd(|K/K^\prime|,|Z(H)|)$, we consider fourstandard products of them and it is proved that only tensor product of factors can be normaledge-transitive.

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