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Abstract:
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In this thesis, we are going to highligth two di erent relations between graphs and nite
commutative rings. The rst one is the well known as Unitary Cayley Graph, where the
study of this assocciation and some results are presented from [1]. The second one is a
completely di erent; it connects digraphs with quadratic polynomials with coe tents in
Zn under the mapping (a; b) 7! (a + b; ab), for some n < 1. A Computer calculations
are involved to support the study. The algorithm which is used for these calculations is
built on original Mathematica and Matlab Softwares. Furthermore, Some principles are
needed in this thesis for the seek of support and completeness. . . |