Please use this identifier to cite or link to this item: http://repository.aaup.edu/jspui/handle/123456789/2761
Title: Non-Commuting Graph of the Special Linear Groups Sl (2,q) and SL (3, q)
Authors: Abu-Zaina, Duaa Nader$AAUP$Palestinian
Keywords: non-communting graph,grouphs,finite fields
Issue Date: 2018
Publisher: AAUP
Abstract: If G is a non-abelian group and Zg is the center of G. The non-commuting graph of G is defined to be the graph Te where G — Zg is set of vertices such that any two vertices z and y are adjacent if and only if zy yxv. In this work, we will investigate the non-commuting graph of the special linear group SL(n, 4) where n = 2,3 over the Galois filed of order g. We will find the clique number w(Fsrn,q))» the independent number a(Tsr(n,q() the minimum size of vertex cover )Tsr(n,o)) and the vertex chromatic number x(Fszn,q))-
Description: Master's degree in Applied Mathematics
URI: http://repository.aaup.edu/jspui/handle/123456789/2761
Appears in Collections:Master Theses and Ph.D. Dissertations

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