On Generators and Undirected Cayley graphs of Γ_1-Non-Deranged Permutation Groups

K. O. Aremu, F. A. Issa, A. Muhammad, A.R. Tasiu, I.M. Muhammed
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Abstract

A cayley graph  of a group , where S is the set of generators of  is a graph that has a vertex for each element of  and edge  for  and . In this work, we study the structural properties of undirected cayley graphs of the -non deranged permutation group ( ) obtained from a modulo p function (for  and  is prime), and established that the generators of  are not unique and also the undirected cayley graphs  is not simple.
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关于Γ_1-Non-Deranged置换群的生成和无向Cayley图
群的cayley图,其中S是的生成器集合,是一个对的每个元素都有顶点,对和都有边的图。本文研究了由模p函数(和为素数)得到的-非无序置换群()的无向cayley图的结构性质,并证明了无向cayley图的生成不唯一,无向cayley图也不简单。
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