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    Finding Cycles In The Kth Power Diagraphs Over Integers Modulo A Prime And Over Gaussian Integers Modulo a Gaussian Prime (thesis)

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    Honors thesis (257.3Kb)
    Date
    2014
    Author
    Tu, Wenda
    Subject
    Washington and Lee University -- Honors in Mathematics
    Numbers, Prime
    Mathematics
    Number theory
    Graph theory
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    Description
    Thesis; [FULL-TEXT RESTRICTED TO WASHINGTON AND LEE UNIVERSITY LOGIN]
     
    Wenda Tu is a member of the Class of 2014 of Washington and Lee University.
     
    Given Zp where p is an integer prime, let's de ne G(k) p to be the digraph whose set of vertices is Zp such that there is a directed edge from a vertex a to a vertex b if ak b mod p. First, we nd our own way to decide if there is a cycle of length t in a given graph G(k) p in Zp. Later, we extend our work from Zp to Z[i]=hpi for p Gaussian primes. We found similar ways to determine the cycles in G(k) p in such Gaussian integer eld .
     
    Wenda Tu
     
    URI
    http://hdl.handle.net/11021/27300
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    • MATH Honors Theses
    • W&L Dept. of Mathematics

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