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This volume is formed by papers prepared by speakers of the G2R2-conference on "Graphs and Groups,Relations and Representations" held in Novosibirsk,Russia in August 2018.The topics of the papers reflect the wide range of themes covered by the lectures given at the conference.The first paper by Akihiro Munemasa and Keiji Ito of the volume extends the classical notion of Krein parameters to the class of coherent configurations where the commutativity condition is weakened.