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Cayley graphs as classifiers for data mining: The influence of asymmetries
Authors:Andrei Kelarev  Joe Ryan  John Yearwood  
Institution:aSchool of Information Technology and Mathematical Sciences, University of Ballarat, P.O. Box 663, Ballarat, Victoria 3353, Australia;bSchool of Electrical Engineering and Computer Science, University of Newcastle, Callaghan, NSW 2308, Australia
Abstract:The endomorphism monoids of graphs have been actively investigated. They are convenient tools expressing asymmetries of the graphs. One of the most important classes of graphs considered in this framework is that of Cayley graphs. Our paper proposes a new method of using Cayley graphs for classification of data. We give a survey of recent results devoted to the Cayley graphs also involving their endomorphism monoids.
Keywords:Cayley graphs  Endomorphism monoids  Classification
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