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Some results on diameters of Cayley graphs
Authors:Wenjun Xiao
Institution:Department of Computer Science, South China University of Technology, Guangzhou 510641, PR China
Abstract:In this note we obtain a simple expression of any finite group by means of its generating set. Applying this result we partly solve a conjecture on diameters of Cayley graphs proposed by Babai and Seress. We also obtain some other conclusions on diameters on Cayley graphs.
Keywords:Finite group  Cayley graph  Diameter
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