Dissertation > Mathematical sciences and chemical > Mathematics > Algebra,number theory, portfolio theory > Combinatorics ( combinatorics ) > Graph Theory

Dodecahedron graph arc-transitive regular covering

Author HuZuo
Tutor DuShaoFei
School Capital Normal University
Course Basic mathematics
Keywords Dodecahedral graph Regular covers Linear group Coset graph
CLC O157.5
Type Master's thesis
Year 2009
Downloads 33
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Graph coverings are a powerful tool for constructing new graphs from small base graph.We get the arc-transitive regular covers of dodecahedral graph with covering transformation group Zp3 by means of voltage assignment of dodecahedral graph in terms of the technique of coset graph and the representation of simple group A5 into general linear group GL(3,p).The technique in this thesis is a new method which was put forward by Du,Kwak and Xu.It is a significant contribution to the research of graph covering with covering transformation group Zpn,an elementary abelian group.

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