On Generators and Undirected Cayley graphs of 𝛤1-Non-Deranged Permutation Groups.

Autor: Aremu, K. O., Issa, F. A., Muhammad, A., Tasiu, A. R., Muhammed, I. M.
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Zdroj: International Journal of Science for Global Sustainability (IJSGS); Jul2023, Vol. 9 Issue 2, p108-112, 5p
Abstrakt: A cayley graph Cay(𝐺, 𝑆) of a group G, where S is the set of generators of G is a graph that has a vertex for each element of G and edge {g,gs} for g ∈ G and s ∈ s. In this work, we study the structural properties of undirected cayley graphs of the 𝛤1-non deranged permutation group (Gpr1) obtained from a modulo p function (for p = 5 and p is prime), and established that the generators of Gpr1 are not unique and also the undirected cayley graphs Cay(Gpr1, 𝑆) is not simple. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index